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1.

図書
図書
1. Calculus of several variables and differentiable manifolds
[by] Carl B. Allendoerfer
出版情報: New York : Macmillan, [1974]  xi, 227 p. ; 26 cm
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2.

図書
図書
2. The complex analytic theory of Teichmüller spaces
Subhashis Nag
出版情報: New York : Wiley, c1988  xii, 427 p. ; 24 cm
シリーズ名: Canadian Mathematical Society series of monographs and advanced texts
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3.

図書
図書
3. Several complex variables (:us ; :gw)
H. Grauert, K. Fritzsche
出版情報: New York : Springer-Verlag, c1976  viii, 207 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 38
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4.

図書
図書
4. Introduction to complex hyperbolic spaces (: U.S. ; : Germany)
Serge Lang
出版情報: New York : Springer-Verlag, c1987  viii, 271 p. ; 25 cm
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5.

図書
図書
5. An introduction to complex analysis in several variables (: us ; : ne)
Lars Hörmander
出版情報: Amsterdam : North-Holland Pub. Co. , New York : American Elsevier Pub. Co., 1973  213 p. ; 23 cm
シリーズ名: North-Holland mathematical library ; v. 7
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6.

図書
図書
6. Analytische Stellenalgebren (: gw ; : us)
H. Grauert, R. Remmert ; unter Mitarbeit von O. Riemenschneider
出版情報: Berlin ; New York : Springer-Verlag, 1971  ix, 240 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 176
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7.

図書
図書
7. Analysis and geometry on complex homogeneous domains (: us ; : sz)
Jacques Faraut ... [et al.]
出版情報: Boston : Birkhäuser, c2000  xvii, 540 p. ; 25 cm
シリーズ名: Progress in mathematics ; v. 185
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目次情報: 続きを見る
[see attached for more detailed TOC] Preface
Function Spaces on Complex Semigroups / Part I：
Graded Lie Algebras, Related Geometric Structures, and Pseudo- Hermitian Symmetric Spaces / Part II：
Function Spaces on Bounded Symmetric Domains / Part III：
Heat Kernels of Non-Compact Symmetric Spaces / Part IV：
Jordan Triple Systems / Part V：
Index
[see attached for more detailed TOC] Preface
Function Spaces on Complex Semigroups / Part I：
Graded Lie Algebras, Related Geometric Structures, and Pseudo- Hermitian Symmetric Spaces / Part II：
8.

図書
図書
8. Differentiable and complex dynamics of several variables (: alk. paper)
by Pei-Chu Hu and Chung-Chun Yang
出版情報: Dordrecht ; Boston, Mass. : Kluwer Academic, c1999  ix, 338 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 483
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9.

図書
図書
9. Selected papers : œuvres scientifiques (: set - 3)
Jean Leray ; [editor, Paul Malliavin]
出版情報: Berlin : Springer, 1998 , Paris : Société mathématique de France, c1998  3 v. ; 25 cm
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10.

図書
図書
10. Flavors of geometry (: hbk ; : pbk)
edited by Silvio Levy
出版情報: Cambridge : Cambridge University Press, 1997  ix, 194 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 31
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11.

図書
図書
11. Real submanifolds in complex space and their mappings
M. Salah Baouendi, Peter Ebenfelt, Linda Preiss Rothschild
出版情報: Princeton, NJ : Princeton University Press, c1999  xii, 404 p. ; 25 cm
シリーズ名: Princeton mathematical series ; 47
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目次情報: 続きを見る
Preface
Hypersurfaces and Generic Submanifolds in C[superscript N] / Ch. I：
Abstract and Embedded CR Structures / Ch. II：
Vector Fields: Commutators, Orbits, and Homogeneity / Ch. III：
Coordinates for Generic Submanifolds / Ch. IV：
Rings of Power Series and Polynomial Equations / Ch. V：
Geometry of Analytic Discs / Ch. VI：
Boundary Values of Holomorphic Functions in Wedges / Ch. VII：
Holomorphic Extension of CR Functions / Ch. VIII：
Holomorphic Extension of Mappings of Hypersurfaces / Ch. IX：
Segre Sets / Ch. X：
Nondegeneracy Conditions for Manifolds / Ch. XI：
Holomorphic Mappings of Submanifolds / Ch. XII：
Mappings of Real-algebraic Subvarieties / Ch. XIII：
References
Index
Preface
Hypersurfaces and Generic Submanifolds in C[superscript N] / Ch. I：
Abstract and Embedded CR Structures / Ch. II：
12.

図書
図書
12. Fatou type theorems : maximal functions and approach regions (: us ; : gw)
Fausto Di Biase
出版情報: Boston : Birkhäuser, c1998  viii, 152 p. ; 24 cm
シリーズ名: Progress in mathematics ; vol. 147
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13.

図書
図書
13. An introduction to several complex variables and partial differential equations
Heinrich G.W. Begehr and Abduhamid Dzhuraev
出版情報: Harlow : Longman, 1997  454 p. ; 24 cm
シリーズ名: Pitman monographs and surveys in pure and applied mathematics ; 88
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14.

図書
図書
14. Harmonic analysis of functions of several complex variables in the classical domains
by L.K. Hua
出版情報: Providence : American Mathematical Society, 1963  iv, 164 p. ; 23 cm
シリーズ名: Translations of mathematical monographs ; v. 6
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15.

図書
図書
15. Several complex variables and the geometry of real hypersurfaces
John P. D'Angelo
出版情報: Boca Raton : CRC Press, c1993  xiii, 272 p. ; 25 cm
シリーズ名: Studies in advanced mathematics
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16.

図書
図書
16. Pluripotential theory
Maciej Klimek
出版情報: Oxford ; Tokyo : Clarendon Press, 1991  xiv, 266 p. ; 24 cm
シリーズ名: London Mathematical Society monographs ; new series, 6
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目次情報: 続きを見る
Complex Differentiation / Part 1：
Subharmonic and Plurisubharmonic Functions / 2：
The Complex Monge-Ampere Operator / Part 2：
The Dirichet Problem for the Monge-Ampere Operator / 4：
Maximal Functions of Logarithmic Growth / 5：
Maximal Functions with Logarithmic Singularities / 6：
Complex Differentiation / Part 1：
Subharmonic and Plurisubharmonic Functions / 2：
The Complex Monge-Ampere Operator / Part 2：
17.

図書
図書
17. Function theory
Robert C. Gunning
出版情報: Pacific Grove, Calif. : Wadsworth & Brooks/Cole, c1990  xix, 203 p. ; 25 cm
シリーズ名: The Wadsworth & Brooks/Cole mathematics series ; . Introduction to holomorphic functions of several variables / Robert C. Gunning ; v. 1
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18.

図書
図書
18. Fonctions plurisousharmoniques et formes différentielles positives
P. Lelong
出版情報: Paris ; Londres ; New York : Gordon & Breach : distribué par Dunod, c1968  vii, 79 p. ; 24 cm
シリーズ名: Cours et documents de mathématiques et de physique
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19.

図書
図書
19. Geometric function theory in several complex variables
Junjiro Noguchi, Takushiro Ochiai ; [translated from the Japanese by Junjiro Noguchi]
出版情報: Providence, R.I. : American Mathematical Society, c1990  xi, 282 p. ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 80
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Hyperbolic manifolds
Measure hyperbolic manifolds
Positive currents and plurisubharmonic functions
Meromorphic mappings
Nevanlinna theory
Value distribution of holomorphic curves
Hyperbolic manifolds
Measure hyperbolic manifolds
Positive currents and plurisubharmonic functions
20.

図書
図書
20. Linear differential equations in the complex domain : problems of analytic continuation (: alk. paper)
Yasutaka Sibuya ; [translated from the Japanese by Yasutaka Sibuya]
出版情報: Providence, R.I. : American Mathematical Society, c1990  xiv, 267 p. ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 82
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21.

図書
図書
21. Homological theory
Robert C. Gunning
出版情報: Pacific Grove, CA : Wadsworth & Brooks/Cole, c1990  xix, 194 p. ; 25 cm
シリーズ名: The Wadsworth & Brooks/Cole mathematics series ; . Introduction to holomorphic functions of several variables ; v. 3
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22.

図書
図書
22. Introduction to complex analysis (: us ; : gw)
A.G. Vitushkin, (ed.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1990  248 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 7 . Several complex variables ; 1
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23.

図書
図書
23. Algebraic aspects of complex analysis (: us ; : gw ; :pbk)
S.G. Gindikin, G.M. Khenkin (eds.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1990  251 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 10 . Several complex variables ; 4
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24.

図書
図書
24. Integral representations of functions and imbedding theorems (v. 1 ; v. 2)
Oleg V. Besov, Valentin P. Ilʹin, Sergey M. Nikolʹskii ; edited by Mitchell H. Taibleson
出版情報: Washington : V.H. Winston , [New York] : Distributed solely by Halsted Press, 1978-1979  2 v. ; 23 cm
シリーズ名: Scripta series in mathematics
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25.

図書
図書
25. An introduction to complex analysis in several variables. 3rd, rev., ed
Lars Hörmander
出版情報: Amsterdam ; New York ; Tokyo : North-Holland , New York, N.Y. : Distributors for the United States and Canada, Elsevier Science, 1990  xii, 254 p. ; 23 cm
シリーズ名: North-Holland mathematical library ; v. 7
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目次情報: 続きを見る
Analytic Functions of One Complex Variable / I：
Elementary Properties of Functions of Several Complex Variables / II：
Applications to Commutative Banach Algebras / III：
L 2 Estimates and Existence Theorems for the Operator / IV：
Stein Manifolds / V：
Local Properties of Analytic Functions / VI：
Coherent Analytic Sheaves on Stein Manifolds / VII：
Bibliography
Index
Analytic Functions of One Complex Variable / I：
Elementary Properties of Functions of Several Complex Variables / II：
Applications to Commutative Banach Algebras / III：
26.

図書
図書
26. Plurisubharmonic functions and positive differential forms
Pierre Lelong ; translated by M.A. Dostal
出版情報: New York : Gordon and Breach, c1969  x, 78 p. ; 24 cm
シリーズ名: Notes on mathematics and its applications
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27.

図書
図書
27. Methods of the theory of functions of many complex variables
Vasiliy Sergeyevich Vladimirov ; with a preface by N.N. Bogolyubov ; translated by Scripta Technica, Inc. ; edited by Leon Ehrenpreis
出版情報: Cambridge, Mass. : M.I.T. Press, c1966  xii, 353 p. ; 25 cm
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28.

図書
図書
28. Banach algebras and several complex variables
John Wermer
出版情報: Chicago : Markham, c1971  viii, 129 p. ; 26 cm
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29.

図書
図書
29. Banach algebras and several complex variables. 2nd ed (: U.S ; : Germany)
John Wermer
出版情報: New York : Springer-Verlag, 1976  ix, 161 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 35
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30.

図書
図書
30. Introduction to the theory of entire functions of several variables
by L. I. Ronkin. [Translated from the Russian by Israel Program for Scientific Translations]
出版情報: Providence, R.I. : American Mathematical Society, 1974  vi, 273 p ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 44
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31.

図書
図書
31. Special chapters in the theory of analytic functions of several complex variables
by B.A. Fuks ; [translated from the Russian by A. Jeffrey and N. Mugibayashi]
出版情報: Providence : American Mathematical Society, 1965  vi, 357 p. ; 24 cm
シリーズ名: Translations of mathematical monographs ; 14
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32.

図書
図書
32. Andreotti-Grauert theory by integral formulas (: gw ; : us)
Gennadi M. Henkin, Jürgen Leiterer
出版情報: Boston ; Basel : Birkhäuser, 1988  270 p. ; 24 cm
シリーズ名: Progress in mathematics ; v. 74
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33.

図書
図書
33. Complex analysis : articles dedicated to Albert Pfluger on the occasion of his 80th birthday (: sz ; : us)
edited by Joseph Hersch and Alfred Huber
出版情報: Basel ; Boston : Birkhäuser Verlag, 1988  xii, 245 p. ; 24 cm
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34.

図書
図書
34. Fourier analysis in several complex variables
Leon Ehrenpreis
出版情報: New York : Wiley-Interscience Publishers, c1970  xiii, 506 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 17
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35.

図書
図書
35. Geometric function theory (: us ; : gw ; :pbk)
G.M. Khenkin (ed.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1989  261 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 9 . Several complex variables ; 3
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36.

図書
図書
36. Theory of functions on complex manifolds (:sz ; :us)
Gennadi Henkin, Jürgen Leiterer
出版情報: Basel ; Boston : Birkhäuser Verlag, 1984  226 p. ; 24 cm
シリーズ名: Monographs in mathematics ; v. 79
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37.

図書
図書
37. Complex analysis in partial differential equations and mathematical physics (: gw ; : us ; : softcover)
G.M. Khenkin (ed.)
出版情報: Berlin ; New York : Springer-Verlag, c1993  286 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 54 . Several complex variables ; 5
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38.

図書
図書
38. Introduction to the theory of analytic functions of several complex variables
by B.A. Fuks ; [translated from the Russian by A. A. Brown, J. M. Dansking and E. Hewitt]
出版情報: Providence : American Mathematical Society, 1963  x, 388 p. ; 24 cm
シリーズ名: Translations of mathematical monographs ; 8
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39.

図書
図書
39. Selected papers (: Berlin : set : acid-free - v. 2)
Hans Grauert
出版情報: Berlin ; New York : Springer-Verlag, c1994  2 v. ; 25 cm
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40.

図書
図書
40. Function theory in classical domains : complex potential theory (: us ; : gw ; : softcover)
G.M. Khenkin, A.G. Vitushkin (eds.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1994  260 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 8 . Several complex variables ; 2
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41.

図書
図書
41. Sheaf-theoretical methods in complex analysis (: gw ; : us)
H. Grauert, Th. Peternell, R. Remmert (eds.)
出版情報: Berlin ; New York : Springer-Verlag, c1994  369 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 74 . Several complex variables ; 7
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42.

図書
図書
42. Several complex variables with connections to algebraic geometry and Lie groups
Joseph L. Taylor
出版情報: Providence, R.I. : American Mathematical Society, c2002  xvi, 507 p. ; 26 cm
シリーズ名: Graduate studies in mathematics ; v. 46
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目次情報: 続きを見る
Selected problems in one complex variable
Holomorphic functions of several variables
Local rings and varieties
The Nullstellensatz Dimension
Homological algebra Sheaves and sheaf cohomology
Coherent algebraic sheaves
Coherent analytic sheaves Stein spaces
Frechet sheaves-Cartan's theorems
Projective varieties Algebraic vs. analytic-Serre's theorems
Lie groups and their representations
Algebraic groups
The Borel-Weil-Bott theorem
Bibliography
Index
Selected problems in one complex variable
Holomorphic functions of several variables
Local rings and varieties
43.

図書
図書
43. Geometric function theory in one and higher dimensions
Ian Graham, Gabriela Kohr
出版情報: New York : Marcel Dekker, c2003  xv, 530 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 255
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目次情報: 続きを見る
Preface
Introduction
Univalent functions / I：
Elementary properties of univalent functions / 1：
Univalence in the complex plane / 1.1：
Elementary results in the theory of univalent functions. Examples of univalent functions / 1.1.1：
The area theorem / 1.1.2：
Growth, covering and distortion results in the class S / 1.1.3：
The maximum modulus of univalent functions / 1.1.4：
Two-point distortion results for the class S / 1.1.5：
Subclasses of univalent functions in the unit disc / 2：
Functions with positive real part. Subordination and the Herglotz formula / 2.1：
The Caratheodory class. Subordination / 2.1.1：
Applications of the subordination principle / 2.1.2：
Starlike and convex functions / 2.2：
Starlikeness and convexity of order [alpha]. Alpha convexity / 2.3：
Starlikeness and convexity of order [alpha] / 2.3.1：
Alpha convexity / 2.3.2：
Close-to-convexity, spirallikeness and [Phi]-likeness in the unit disc / 2.4：
Close-to-convexity in the unit disc / 2.4.1：
Spirallike functions in the unit disc / 2.4.2：
[Phi]-like functions on the unit disc / 2.4.3：
The Loewner theory / 3：
Loewner chains and the Loewner differential equation / 3.1：
Kernel convergence / 3.1.1：
Subordination chains and kernel convergence / 3.1.2：
Loewner's differential equation / 3.1.3：
Remarks on Bieberbach's conjecture / 3.1.4：
Applications of Loewner's differential equation to the study of univalent functions / 3.2：
The radius of starlikeness for the class S and the rotation theorem / 3.2.1：
Applications of the method of Loewner chains to characterize some subclasses of S / 3.2.2：
Univalence criteria / 3.3：
Becker's univalence criteria / 3.3.1：
Univalence criteria involving the Schwarzian derivative / 3.3.2：
A generalization of Becker's and Nehari's univalence criteria / 3.3.3：
Bloch functions and the Bloch constant / 4：
Preliminaries concerning Bloch functions / 4.1：
The Bloch constant problem and Bonk's distortion theorem / 4.2：
Locally univalent Bloch functions / 4.3：
Distortion results for locally univalent Bloch functions / 4.3.1：
The case of convex functions / 4.3.2：
Linear invariance in the unit disc / 5：
General ideas concerning linear-invariant families / 5.1：
Extremal problems and radius of univalence / 5.2：
Bounds for coefficients of functions in linear-invariant families / 5.2.1：
Radius problems for linear-invariant families / 5.2.2：
Univalent mappings in several complex variables and complex Banach spaces / II：
Univalence in several complex variables / 6：
Preliminaries concerning holomorphic mappings in C[superscript n] and complex Banach spaces / 6.1：
Holomorphic functions in C[superscript n] / 6.1.1：
Classess of domains in C[superscript n]. Pseudoconvexity / 6.1.2：
Holomorphic mappings / 6.1.3：
Automorphisms of the Euclidean unit ball and the unit polydisc / 6.1.4：
Holomorphic mappings in complex Banach spaces / 6.1.5：
Generalizations of functions with positive real part / 6.1.6：
Examples and counterexamples / 6.1.7：
Criteria for starlikeness / 6.2：
Criteria for starlikeness on the unit ball in C[superscript n] or in a complex Banach space / 6.2.1：
Starlikeness criteria on more general domains in C[superscript n] / 6.2.2：
Sufficient conditions for starlikeness for mappings of class C[superscript 1] / 6.2.3：
Starlikeness of order [gamma] in C[superscript n] / 6.2.4：
Criteria for convexity / 6.3：
Criteria for convexity on the unit polydisc and the Euclidean unit ball / 6.3.1：
Necessary and sufficient conditions for convexity in complex Banach spaces / 6.3.2：
Quasi-convex mappings on the unit ball of C[superscript n] / 6.3.3：
Spirallikeness and [Phi]-likeness in several complex variables / 6.4：
Growth, covering and distortion results for starlike and convex mappings in C[superscript n] and complex Banach spaces / 7：
Growth, covering and distortion results for starlike mappings in several complex variables and complex Banach spaces / 7.1：
Growth and covering results for starlike mappings on the unit ball and some pseudoconvex domains in C[superscript n]. Extensions to complex Banach spaces / 7.1.1：
Bounds for coefficients of normalized starlike mappings in C[superscript n] / 7.1.2：
A distortion result for a subclass of starlike mappings in C[superscript n] / 7.1.3：
Growth, covering and distortion results for convex mappings in several complex variables and complex Banach spaces / 7.2：
Growth and covering results for convex mappings / 7.2.1：
Covering theorem and the translation theorem in the case of nonunivalent convex mappings in several complex variables / 7.2.2：
Bounds for coefficients of convex mappings in C[superscript n] and complex Hilbert spaces / 7.2.3：
Distortion results for convex mappings in C[superscript n] and complex Hilbert spaces / 7.2.4：
Loewner chains in several complex variables / 8：
Loewner chains and the Loewner differential equation in several complex variables / 8.1：
The Loewner differential equation in C[superscript n] / 8.1.1：
Transition mappings associated to Loewner chains on the unit ball of C[superscript n] / 8.1.2：
Close-to-starlike and spirallike mappings of type alpha on the unit ball of C[superscript n] / 8.2：
An alternative characterization of spirallikeness of type alpha in terms of Loewner chains / 8.2.1：
Close-to-starlike mappings on the unit ball of C[superscript n] / 8.2.2：
Univalent mappings which admit a parametric representation / 8.3：
Examples of mappings which admit parametric representation on the unit ball of C[superscript n] / 8.3.1：
Growth results and coefficient bounds for mappings in S[superscript 0 subscript g](B) / 8.3.2：
Applications of the method of Loewner chains to univalence criteria on the unit ball of C[superscript n] / 8.4：
Loewner chains and quasiconformal extensions of holomorphic mappings in several complex variables / 8.5：
Construction of quasiconformal extensions by means of Loewner chains / 8.5.1：
Strongly starlike and strongly spirallike mappings of type [alpha] on the unit ball of C[superscript n] / 8.5.2：
Bloch constant problems in several complex variables / 9：
Preliminaries and a generalization of Bonk's distortion theorem / 9.1：
Bloch constants for bounded and quasiregular holomorphic mappings / 9.2：
Bloch constants for starlike and convex mappings in several complex variables / 9.3：
Linear invariance in several complex variables / 10：
Preliminaries concerning the notion of linear invariance in several complex variables / 10.1：
L.I.F.'s and trace order in several complex variables / 10.1.1：
Examples of L.I.F.'s on the Euclidean unit ball of C[superscript n] / 10.1.2：
Distortion results for linear-invariant families in several complex variables / 10.2：
Distortion results for L.I.F.'s on the Euclidean unit ball of C[superscript n] / 10.2.1：
Distortion results for L.I.F.'s on the unit polydisc of C[superscript n] / 10.2.2：
Examples of L.I.F.'s of minimum order on the Euclidean unit ball and the unit polydisc of C[superscript n] / 10.3：
Examples of L.I.F.'s of minimum order on the Euclidean unit ball of C[superscript n] / 10.3.1：
Examples of L.I.F.'s of minimum order on the unit polydisc of C[superscript n] / 10.3.2：
Norm order of linear-invariant families in several complex variables / 10.4：
Norm order and univalence on the Euclidean unit ball of C[superscript n] / 10.5：
Linear-invariant families in complex Hilbert spaces / 10.6：
Univalent mappings and the Roper-Suffridge extension operator / 11：
Convex, starlike and Bloch mappings and the Roper-Suffridge extension operator / 11.1：
Growth and covering theorems associated with the Roper-Suffridge extension operator / 11.2：
Loewner chains and the operator [Phi subscript n, alpha] / 11.3：
Radius problems and the operator [Phi subscript n, alpha] / 11.4：
Linear-invariant families and the operator [Phi subscript n, alpha] / 11.5：
Bibliography
List of Symbols
Index
Preface
Introduction
Univalent functions / I：
44.

図書
図書
44. Function theory in several complex variables
Toshio Nishino ; translated by Norman Levenberg, Hiroshi Yamaguchi
出版情報: Providence, R.I. : American Mathematical Society, c2001  xiii, 366 p. ; 27 cm
シリーズ名: Translations of mathematical monographs ; v. 193
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目次情報: 続きを見る
Fundamental theory: Holomorphic functions and domains of holomorphy
Implicit functions and analytic sets
The Poincare, Cousin, and Runge problems
Pseudoconvex domains and pseudoconcave sets
Holomorphic mappings
Theory of analytic spaces: Ramified domains
Analytic sets and holomorphic functions
Analytic spaces Normal pseudoconvex spaces
Bibliography
Index
Fundamental theory: Holomorphic functions and domains of holomorphy
Implicit functions and analytic sets
The Poincare, Cousin, and Runge problems
45.

図書
図書
45. Partial differential equations in several complex variables
So-Chin Chen, Mei-Chi Shaw
出版情報: Providence, RI : American Mathematical Society, c2001  xii, 380 p. ; 27 cm
シリーズ名: AMS/IP studies in advanced mathematics ; v. 19
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Real and complex manifolds
The Cauchy integral formula and its applications
Holomorphic extension and pseudoconvexity $L^2$ theory for $\overline\partial$ on pseudoconvex domains
The $\overline\partial$-Neumann problem on strongly pseudoconvex manifolds
Boundary regularity for $\overline\partial$ on pseudoconvex domains
Cauchy-Riemann manifolds and the tangential
Cauchy-Riemann complex
Subelliptic estimates for second order differential equations and $\square_b$
The tangential
Cauchy-Riemann complex on pseudoconvex $CR$ manifolds
Fundamental solutions for $\square_b$ on the Heisenberg group
Integral representations for $\overline\partial$ and $\overline\partial_b$
Embeddability of abstract $CR$ structures
Appendix
Bibliography
Table of notation
Index
Real and complex manifolds
The Cauchy integral formula and its applications
Holomorphic extension and pseudoconvexity $L^2$ theory for $\overline\partial$ on pseudoconvex domains
46.

図書
図書
46. Function theory of several complex variables. 2nd ed.
Steven G. Krantz
出版情報: Providence, RI : American Mathematical Society, 2001, c1992  xvi, 564 p. ; 24 cm
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An introduction to the subject Some integral formulas
Subharmonicity and its applications
Convexity Hormander's solution of the $\bar\partial$ equation
Solution of the Levi problem and other applications of $\bar\partial$ techniques
Cousin problems, cohomology, and sheaves
The zero set of a holomorphic function Some harmonic analysis
Constructive methods Integral formulas for solutions to the $\bar\partial$ problem and norm estimates
Holomorphic mappings and invariant metrics Manifolds
Area measures Exterior algebra Vectors, covectors, and differential forms
List of notation
Bibliography
Index
An introduction to the subject Some integral formulas
Subharmonicity and its applications
Convexity Hormander's solution of the $\bar\partial$ equation
47.

図書
図書
47. Sur les fonctions analytiques de plusieurs variables
par Kiyoshi Oka
出版情報: Tokyo : Iwanami Shoten, 1961  234 p. ; 26 cm
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48.

図書
図書
48. An introduction to complex analysis in several variables
Lars Hörmander
出版情報: Princeton, N.J. : D. van Nostrand, c1966  x, 208 p. ; 24 cm
シリーズ名: The University series in higher mathematics
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49.

図書
図書
49. Several complex variables : local theory
M. Hervé
出版情報: Bombay : Published for the Tata Institute of Fundamenatal Research , Glasgow : Oxford University Press, 1963  134 p. ; 25 cm
シリーズ名: Tata Institute of Fundamental Research studies in mathematics ; 1
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50.

図書
図書
50. Analytic functions of several complex variables
Robert C. Gunning, Hugo Rossi
出版情報: Englewood Cliffs, N.J : Prentice-Hall, c1965  xii, 317 p. ; 24 cm
シリーズ名: Prentice-Hall series in modern analysis
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