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1.

図書

図書
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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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
2.

図書

図書
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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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
3.

図書

図書
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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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:
4.

図書

図書
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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[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:
5.

図書

図書
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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6.

図書

図書
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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7.

図書

図書
Vasiliy Sergeyevich Vladimirov ; with a pref. by N.N. Bogolyubov ; translated by Scripta Technica, Inc. ; edited by Leon Ehrenpreis
出版情報: Mineola : Dover Publications, 2007, c1966  xii, 353 p. ; 22cm
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8.

図書

図書
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
9.

図書

図書
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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10.

図書

図書
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
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