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1.

図書
図書
1. Handbook of complex variables
Steven G. Krantz
出版情報: Boston, Mass. : Birkhäuser, c1999  xxiv, 290 p. ; 24 cm
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2.

図書
図書
2. Complex analysis on infinite dimensional spaces
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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3.

図書
図書
3. Convex geometric analysis
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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4.

図書
図書
4. Orthogonal rational functions (: pbk)
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：
5.

図書
図書
5. Integral geometry, radon transforms and complex analysis : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held in Venice, Italy, June 3-12, 1996 (: pbk)
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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6.

図書
図書
6. Introduction to complex analysis
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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7.

図書
図書
7. Classical topics in complex function theory
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
8.

図書
図書
8. Complex analysis. 4th ed
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：
9.

図書
図書
9. Function theory of one complex variable
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
10.

図書
図書
10. Gaussian Hilbert spaces
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：
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