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1.

図書

図書
А.И. Маркушевич
出版情報: Москва : Наука, Глав. ред. физико-математическо й лит-ры, 1966  387 p. ; 23 cm
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2.

図書

図書
A.F. Beardon
出版情報: Chichester [Eng.] ; New York : Wiley, c1979  xiii, 239 p. ; 23 cm
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3.

図書

図書
Manfred Kracht, Erwin Kreyszig
出版情報: New York : Wiley, c1988  xiv, 394 p. ; 24 cm
シリーズ名: Canadian Mathematical Society series of monographs and advanced texts
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4.

図書

図書
William R. Derrick
出版情報: Belmont, Calif. : Wadsworth International Group, c1984  xiii, 347 p. ; 25 cm
シリーズ名: The Wadsworth mathematics series
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5.

図書

図書
George Polya, Gordon Latta
出版情報: New York : Wiley, c1974  xiv, 327 p. ; 24 cm
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6.

図書

図書
Reinhold Remmert
出版情報: Berlin ; Tokyo : Springer, 1984-1991  v. <1-2 > ; 24 cm
シリーズ名: Grundwissen Mathematik ; 5-6
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7.

図書

図書
by Ruel V. Churchill, James W. Brown and Roger F. Verhey
出版情報: New York : McGraw-Hill, c1974  x, 332 p. ; 23 cm
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8.

図書

図書
D.E. Lerner & P.D. Sommers (editors)
出版情報: San Francisco ; London : Pitman, 1979  [8], 242 p. ; 25 cm
シリーズ名: Research notes in mathematics ; 32
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9.

図書

図書
Dieter Gaier ; translated by Renate McLaughlin
出版情報: Boston : Birkhäuser, c1987  ix, 196 p. ; 25 cm
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10.

図書

図書
Peter Henrici
出版情報: New York : Wiley, c1974  xv, 682 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; . Applied and computational complex analysis / Peter Henrici ; v. 1
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11.

図書

図書
Peter Henrici
出版情報: New York : Wiley, c1977  ix, 662 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; . Applied and computational complex analysis / Peter Henrici ; v. 2
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12.

図書

図書
Zane C. Motteler
出版情報: New York : Intext Educational Publishers, c1975  xi, 307 p. ; 24 cm
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13.

図書

図書
Carl Ludwig Siegel
出版情報: New York ; London : Academic Press, 1964  86 p. ; 24 cm
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14.

図書

図書
Stephen D. Fisher
出版情報: New York : Wiley, c1983  xiii, 269 p. ; 24 cm
シリーズ名: Pure and applied mathematics
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目次情報: 続きを見る
Notation and Numbering
The Dirichlet Problem and Harmonic Measure / 1:
Introduction / 1.1:
The Poisson Formula and Some Preliminaries / 1.2:
Subharmonic Functions / 1.3:
Solution of the Dirichlet Problem / 1.4:
The Green's Function of a Domain / 1.5:
Harmonic Measure / 1.6:
Logarithmic Capacity / 1.7:
Additional Readings and Notes
Exercises
Uniformization and Conditional Expectation / 2:
The Uniformization Theorem / 2.1:
Conditional Expectation and the Space N / 2.3:
Harmonic Measure and L[superscript 1]/[Characters not reproducible] / 2.4:
The Hardy Spaces H[superscript p]([Omega]) / 3:
Basic Properties of H[superscript p]([Omega]) / 3.1.:
H[superscript p] on the Unit Disc / 3.3.:
H[superscript p] and H[superscript p]([Omega]) / 3.4.:
Null Sets and Essential Boundary Points for H[superscript Infinity]([Omega]) / 3.5.:
H[superscript p]([Omega]) Determines [Omega] / 3.6.:
Weak Peak Points for H[superscript Infinity]([Omega]) / 3.7.:
Domains of Finite Connectivity / 4:
The Defect of ReR([Omega]) in C[subscript 1]([Gamma]) / 4.1:
Measures Orthogonal to R([Omega]) / 4.3:
H[superscript p]([Omega]) / 4.4:
N Again / 4.5:
Functions with Periods / 4.6:
The Factorization of H[superscript p]([Omega]) Functions / 4.7:
Blaschke Products, Inner Functions, and Extremal Problems / 5:
The Ahlfors Function / 5.1:
Blaschke Products / 5.2:
Approximation by Inner Functions / 5.3:
Pick-Nevanlinna Interpolation / 5.4:
Interpolation Sequences / 5.5:
The Maximum Principle for Multiple-Valued Bounded Analytic Functions / 5.6:
The Maximal Ideal Space of H[superscript Infinity]([Omega]) / 6:
Peak Points and Parts / 6.1:
The Fibers of M([Omega]) / 6.3:
Distinguished Homomorphisms / 6.4:
The Shilov Boundary of H[superscript Infinity]([Omega]) / 6.5:
The Corona Theorem / 6.6:
Linear Operators on H[superscript p] Spaces / 7:
The Isometries of H[superscript p]([Omega]) / 7.1:
Self-Mappings of a Domain / 7.2:
General Properties of Composition Operators / 7.3:
Compact Composition Operators on H[superscript Infinity]([Omega]) / 7.4:
Optimal Estimation and Widths of Spaces of Holomorphic Functions: Part 1. The H[superscript Infinity] Case / 7.5:
Optimal Estimation and Widths of Spaces of Holomorphic Functions: Part 2. The H[superscript 2] Case / 7.6:
Bibliography
Index
Notation and Numbering
The Dirichlet Problem and Harmonic Measure / 1:
Introduction / 1.1:
15.

図書

図書
Editors, Thomas Peternell, Frank-Olaf Schreyer
出版情報: Berlin : Walter de Gruyter, 2000  x, 406 p. ; 25 cm
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目次情報: 続きを見る
Almost-lines and quasi-lines on projective manifolds / Lucian Badescu ; Mauro C. Beltrametti ; Paltin Ionescu
Transfert de metrique / Daniel Barlet ; Jon Magnusson
On the classification of K3 surfaces with nine cusps / Wolf P. Barth
Complex manifolds with split tangent bundle / Arnaud Beauville
Projections from subvarieties / Alan Howard ; Michael Schneider ; Andrew J. Sommese
Generalized Petersson-Weil metric on the Douady space of embedded manifolds / Indranil Biswas ; Georg Schumacher
On simply connected Godeaux surfaces / Fabrizio Catanese ; Roberto Pignatelli
On the Wahl map of plane nodal curves / Ciro Ciliberto ; Angelo Felice Lopez ; Rick Miranda
A remark on projective embeddings of varieties with non-negative cotangent bundles / Lawrence Ein ; Bo Ilic ; Robert Lazarsfeld
The fundamental group's structure of the complement of some configurations of real line arrangements / David Garber ; Mina Teicher
Kahlerian structures on symplectic reductions / Peter Heinzner ; Alan Huckleberry
Nef divisors on moduli spaces of abelian varieties / Klaus Hulek
Abelian surfaces with two plane cubic curve fibrations and Calabi-Yau threefolds / Kristian Ranestad
Real algebraic threefolds IV. Del Pezzo fibrations / Janos Kollar
Seiberg-Witten invariants for 4-manifolds with b+ = 0 / Christian Okonek ; Andrei Teleman
A geometric proof of Ax' theorem / Jeroen G. Spandaw
A note on the Cayley-Bacharach property for vector bundles / Sheng-Li Tan ; Eckart Viehweg
The scientific work of Michael Schneider / Thomas Peternell
Michael Schneider-an alpine vita / Ulf Persson
Lectures of the Symposium
List of Authors and Participants
Almost-lines and quasi-lines on projective manifolds / Lucian Badescu ; Mauro C. Beltrametti ; Paltin Ionescu
Transfert de metrique / Daniel Barlet ; Jon Magnusson
On the classification of K3 surfaces with nine cusps / Wolf P. Barth
16.

図書

図書
Steven G. Krantz
出版情報: Boston, Mass. : Birkhäuser, c1999  xxiv, 290 p. ; 24 cm
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17.

図書

図書
Sanford S. Miller, Petru T. Mocanu
出版情報: New York : Marcel Dekker, c2000  xi, 459 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 225
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目次情報: 続きを見る
Preface
Preliminaries / Chapter 1:
A Short History / 1.1.:
Basic Definitions and Results / 1.2.:
Subordination / a.:
Hypergeometric Functions / b.:
Classes of Functions / c.:
Integral Operators / d.:
Theory of Second-Order Differential Subordinations / Chapter 2:
Introduction / 2.1.:
Fundamental Lemmas / 2.2.:
Admissible Functions and Fundamental Theorems / 2.3.:
Examples / 2.4.:
The Open Door Lemma and the Integral Existence Theorem / 2.5.:
Classical Results of Geometric Function Theory Revisited / 2.6.:
Applications of First-Order Differential Subordinations / Chapter 3:
First- Order Linear Differential Subordinations / 3.1.:
Briot-Bouquet Differential Subordinations / 3.2.:
Briot-Bouquet Applications in Univalent Function Theory / 3.3.:
Generalized Briot-Bouquet Differential Subordinations / 3.4.:
Analytic Integral Operators Between Classes of Functions / 3.5.:
Subordination-Preserving Integral Operators / 3.6.:
Applications of Second-Order Differential Subordinations / Chapter 4:
Second-Order Linear Differential Subordinations / 4.1.:
Integral Operators Preserving Functions With Positive Real Part / 4.2.:
Integral Operators Preserving Bounded Functions / 4.3.:
Averaging Integral Operators / 4.4.:
The Schwarzian and Starlikeness / 4.5.:
Special Differential Subordinations / Chapter 5:
Conditions for Special Subclasses of Starlike Functions / 5.1.:
Simple Conditions for Starlikeness and Convexity / 5.2.:
On a Theorem of Robertson / 5.3.:
Subordination by Convex Functions / 5.4.:
Functions with Bounded Turning and Starlike Functions / 5.5.:
Functions Starlike with Respect to Symmetric Points / 5.6.:
Higher Order Differential Subordinations / Chapter 6:
Third-Order Differential Subordinations / 6.1.:
The Euler Nth-Order Differential Subordination / 6.3.:
Differential Subordinations of Several Complex Variables / Chapter 7:
Preliminary Lemmas / 7.1.:
Extensions of the Fundamental Lemma / 7.2.:
Dominants and Admissible Functions in C[superscript n] / 7.3.:
Differential Subordinations in C[superscript n] / 7.4.:
Applications of Differential Subordinations in Other Fields / Chapter 8:
Harmonic Functions / 8.1.:
Meromorphic Functions / 8.2.:
Differential Subordinations in the Upper Half-Plane / 8.3.:
Extensions to Banach Spaces / 8.4.:
Convexity of Bernoulli Functions / Appendix:
Bibliography
List of Symbols
Index
Preface
Preliminaries / Chapter 1:
A Short History / 1.1.:
18.

図書

図書
Seán Dineen
出版情報: London ; Berlin : Springer, c1999  xv, 543 p. ; 24 cm
シリーズ名: Springer monographs in mathematics
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19.

図書

図書
edited by Keith M. Ball, Vitali Milman
出版情報: New York : Cambridge University Press, c1999  xx, 236 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 34
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20.

図書

図書
Adhemar Bultheel ... [et al.]
出版情報: New York : Cambridge University Press, 1999  xiv, 407 p. ; 24 cm
シリーズ名: Cambridge monographs on applied and computational mathematics ; 5
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目次情報: 続きを見る
List of symbols
Introduction
Preliminaries / 1:
The fundamental spaces / 2:
The kernal functions / 3:
Recurrence for orthogonal functions / 4:
Quadrature / 5:
Interpolation / 6:
Density of the rational functions / 7:
Favard theorems / 8:
Convergence / 9:
Moment problems / 10:
The boundary case / 11:
Some applications / 12:
Conclusion
Bibliography
The kernel functions
Recurrence and second kind functions
Para-orthogonality and quadrature
Index
List of symbols
Introduction
Preliminaries / 1:
21.

図書

図書
S. Morosawa ... [et al.]
出版情報: Cambridge ; New York : Cambridge University Press, c2000  xi, 338 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; v. 66
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22.

図書

図書
C.A. Berenstein ... [et al.] ; editors, E. Casadio Tarabusi, M.A. Picardello, G. Zampieri
出版情報: Berlin : Springer, c1998  vi, 160 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1684
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23.

図書

図書
Yu. Yu. Trokhimchuk ; translated from Russian [by R. Mandl]
出版情報: Jerusalem : Israel Program for Scientific Translations, 1964  vi, 133 p. ; 25 cm
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24.

図書

図書
Junjiro Noguchi ; translated by Junjiro Noguchi
出版情報: Providence, R.I. : American Mathematical Society, c1998  xi, 250 p. ; 26 cm
シリーズ名: Translations of mathematical monographs ; v. 168
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25.

図書

図書
Reinhold Remmert ; translated by Leslie Kay
出版情報: New York : Springer, c1998  xix, 349 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 172
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目次情報: 続きを見る
Infinite Products and Partial Fraction Series
Infinite Poducts of Holomorphic Functions
The Gamma Function
Entire Functions with Prescribed Zeros
Holomorphic Functions with Prescribed Zeros
Iss'sa's Theorem. Regions of Holomorphy
Functions with Prescribed Principal Parts
Mapping Theory: The Theorems of Montel and Vitali
The Riemann Mapping Theorem
Appendix to Chapter 8 Caratheodory
Koebe Theory
Automorphisms and Finite Inner Maps
Selecta: The Theorems of Bloch, Picard, and Schottky
Boundary Behavior of Power Series
Runge Theory for Compact Sets
Runge Theory for Domains
Invariance of the Number of Holes
Short Biographies
Name
Index Subject
Index
Infinite Products and Partial Fraction Series
Infinite Poducts of Holomorphic Functions
The Gamma Function
26.

図書

図書
by Edouard Goursat ; translated by Earle Raymond Hedrick and Otto Dunkel
出版情報: New York : Dover, 1959  x, 259 p. ; 21 cm
シリーズ名: Dover books on physics and mathematical physics ; A course in mathematical analysis ; v. 2, pt. 1
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27.

図書

図書
Serge Lang
出版情報: New York : Springer, c1999  xiv, 485 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 103
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目次情報: 続きを見る
Basic Theory / I:
Complex Numbers and Functions / 1:
Power Series / 2:
Cauchy's Theorem, First Part / 3:
Winding Numbers and Cauchy's Theorem / 4:
Applications of Cauchy's Integral Formula / 5:
Calculus of Residues / 6:
Conformal Mappings / 7:
Harmonic Functions / 8:
Geometric Function Theory / II:
Schwarz Reflection / 9:
The Riemann Mapping Theorem / 10:
Analytic Continuation Along Curves / 11:
Various Analytic Topics / III:
Applications of the Maximum Modulus Principle and Jensen's Formula / 12:
Entire and Meromorphic Functions / 13:
Elliptic Functions / 14:
The Gamma and Zeta Functions / 15:
The Prime Number Theorem / 16:
Basic Theory / I:
Complex Numbers and Functions / 1:
Power Series / 2:
28.

図書

図書
E.A. Grove, G. Ladas
出版情報: Boston : Houghton Mifflin, [1974]  x, 221 p. ; 25 cm
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29.

図書

図書
Robert E. Greene, Steven G. Krantz
出版情報: New York : J. Wiley, c1997  xiii, 496 p. ; 25 cm
シリーズ名: Pure and applied mathematics
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目次情報: 続きを見る
Fundamental Concepts
Complex Line Integrals
Applications of the Cauchy Integral
Meromorphic Functions and Residues
Zeros of a Holomorphic Function
Holomorphic Functions as Geometric Mappings
Harmonic Functions
Infinite Series and Products
Applications of Infinite Sums and Products
Analytic Continuation
Topology
Rational Approximation Theory
Special Classes of Holomorphic Functions
Hilbert Spaces of Holomorphic Functions, the Bergman Kernel, and Biholomorphic Mappings
Special Functions and the Prime Number Theorem
Appendices
References
Index
Fundamental Concepts
Complex Line Integrals
Applications of the Cauchy Integral
30.

図書

図書
Svante Janson
出版情報: Cambridge, United Kingdom : Cambridge University Press, 1997  x, 340 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 129
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目次情報: 続きを見る
Gaussian Hilbert spaces / 1:
Wiener chaos / 2:
Wick products / 3:
Tensor products and Fock spaces / 4:
Hypercontractivity / 5:
Distributions of variables with finite chaos expansions / 6:
Stochastic integration / 7:
Gaussian stochastic processes / 8:
Conditioning / 9:
Limit theorems for generalized U-statistics / 10:
Applications to operator theory / 11:
Some operators from quantum physics / 12:
The Cameron-Martin shift / 13:
Malliavin calculus / 14:
Transforms / 15:
Appendices
Gaussian Hilbert spaces / 1:
Wiener chaos / 2:
Wick products / 3:
31.

図書

図書
Joseph Bak, Donald J. Newman
出版情報: New York : Springer-Verlag, c1997  x, 294 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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32.

図書

図書
Thomas Ransford
出版情報: Cambridge : Cambridge University Press, 1995  x, 232 p. ; 23 cm
シリーズ名: London Mathematical Society student texts ; 28
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目次情報: 続きを見る
Preface
A word about notation
Harmonic functions / 1:
Subharmonic functions / 2:
Potential theory / 3:
The Dirichlet problem / 4:
Capacity / 5:
Applications / 6:
Borel measures
Bibliography
Index
Glossary of notation
Preface
A word about notation
Harmonic functions / 1:
33.

図書

図書
edited by Rafał Abłamowicz and Pertti Lounesto
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1995  xx, 421 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 321
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34.

図書

図書
Vladislav V. Kravchenko and Michael V. Shapiro
出版情報: Harlow : Longman, 1996  247 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 351
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35.

図書

図書
F. Nevanlinna
出版情報: Basel ; Stuttgart : Birkhäuser, 1965  218 p ; 25 cm
シリーズ名: Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften ; Mathematische Reihe ; Bd. 29
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36.

図書

図書
Liang-shin Hahn, Bernard Epstein
出版情報: Sudbury, Mass. : Jones and Bartlett Publishers, c1996  xiii, 411 p. ; 25 cm
シリーズ名: Jones and Bartlett books in mathematics and computer science
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37.

図書

図書
by A.R. Forsyth
出版情報: Cambridge : Cambridge University press, 1918  xxiv, 855 p. ; 28 cm
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38.

図書

図書
edited by Herbert Clemens and János Kollár
出版情報: Cambridge : Cambridge University Press, 1995  xi, 158 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; v. 28
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39.

図書

図書
Christian Peskine
出版情報: Cambridge [England] : Cambridge University Press, 1996  x, 230 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 47 . An algebraic introduction to complex projective geometry ; 1
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40.

図書

図書
by M.Z.v. Krzywoblocki
出版情報: Wien : Springer-Verlag, 1960  ix, 188 p. ; 28 cm
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41.

図書

図書
Carathéodory, Constantin, 1873-1950
出版情報: Basel : Birkhäuser, 1960-61  2 v. ; 25 cm
シリーズ名: Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften ; Mathematische Reihe ; Bd. 8-9
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42.

図書

図書
A.A. Gonchar, V.P. Havin, N.K. Nikolski, (eds.)
出版情報: Berlin ; New York : Springer-Verlag, c1997  261 p. ; 25 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 85 . Complex analysis ; 1
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目次情報:
Entire and Meromorphic Functions / A.A. Gol'dberg ; B.Ya. Levin ; I.V. Ostrovskii
Polyananalytic Functions and their Generalizations / M.B. Balk
Entire and Meromorphic Functions / A.A. Gol'dberg ; B.Ya. Levin ; I.V. Ostrovskii
Polyananalytic Functions and their Generalizations / M.B. Balk
43.

図書

図書
Gareth A. Jones and David Singerman
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1987  xiv, 342 p. ; 24 cm
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目次情報: 続きを見る
Introduction
The Riemann sphere / 1:
M+ bius transformations / 2:
Elliptic functions / 3:
Meromorphic continuation and Riemann surfaces / 4:
PSL(2,R) and its discrete subgroups / 5:
The modular group / 6:
Appendices
References
Index of symbols
Index of names and definitions
Introduction
The Riemann sphere / 1:
M+ bius transformations / 2:
44.

図書

図書
Theodore V. Hromadka II
出版情報: Berlin ; Tokyo : Springer-Verlag, 1984  xi, 243 p. ; 25 cm
シリーズ名: Lecture notes in engineering ; 9
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45.

図書

図書
Klas Diederich (ed.)
出版情報: Braunschweig : Friedr. Vieweg, c1991  ix, 341 p. ; 23 cm
シリーズ名: Aspects of mathematics = Aspekte der Mathematik ; v. E17
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46.

図書

図書
Steven G. Krantz
出版情報: [Washington, D.C.] : Mathematical Association of America, c1990  xv, 212 p. ; 20 cm
シリーズ名: The Carus mathematical monographs ; no. 23
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目次情報: 続きを見る
Principal ideas of classical function theory / 1:
Basic notions of differential geometry / 2:
Curvature and applications / 3:
Some new invariant metrics / 4:
A glimpse of several complex variables / 5:
Principal ideas of classical function theory / 1:
Basic notions of differential geometry / 2:
Curvature and applications / 3:
47.

図書

図書
Kichoon Yang
出版情報: New York : Marcel Dekker, c1991  viii, 302 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 149
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48.

図書

図書
von G.M. Golusin ; [Übersetzung aus dem Russischen: Doris-Ursula Pirl]
出版情報: Berlin : Deutscher Verlag der Wissenschaften, 1957  xii, 438 p. ; 24 cm
シリーズ名: Hochschulbücher für Mathematik ; Bd. 31
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49.

図書

図書
by L.I. Ronkin
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1992  xii, 392 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; v. 81
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50.

図書

図書
Harold S. Shapiro
出版情報: New York : Wiley, c1992  xi, 108 p. ; 25 cm
シリーズ名: University of Arkansas lecture notes in the mathematical sciences ; v. 9
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目次情報: 続きを見る
The Schwarz Principle of Reflection
The Logarithmic Potential, Balayage, and Quadrature Domains
Examples of "Quadrature Identities"
Quadrature Domains: Basic Properties, 1
Quadrature Domains: Basic Properties, 2
Schwarzian Reflection, Revisited
Projectors from L? (dOmega) to H? (dOmega)
The Friedrichs Operator
Concluding Remarks
Bibliography
Index
The Schwarz Principle of Reflection
The Logarithmic Potential, Balayage, and Quadrature Domains
Examples of "Quadrature Identities"
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