1.
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図書
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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.
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図書
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A.F. Beardon
出版情報: |
Chichester [Eng.] ; New York : Wiley, c1979 xiii, 239 p. ; 23 cm |
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3.
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図書
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Manfred Kracht, Erwin Kreyszig
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4.
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図書
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William R. Derrick
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5.
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図書
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George Polya, Gordon Latta
出版情報: |
New York : Wiley, c1974 xiv, 327 p. ; 24 cm |
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6.
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図書
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Reinhold Remmert
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7.
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図書
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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.
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図書
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D.E. Lerner & P.D. Sommers (editors)
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9.
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図書
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Dieter Gaier ; translated by Renate McLaughlin
出版情報: |
Boston : Birkhäuser, c1987 ix, 196 p. ; 25 cm |
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10.
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図書
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Peter Henrici
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11.
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図書
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Peter Henrici
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12.
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図書
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Zane C. Motteler
出版情報: |
New York : Intext Educational Publishers, c1975 xi, 307 p. ; 24 cm |
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13.
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図書
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Carl Ludwig Siegel
出版情報: |
New York ; London : Academic Press, 1964 86 p. ; 24 cm |
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14.
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図書
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Stephen D. Fisher
目次情報:
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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: |
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15.
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図書
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Editors, Thomas Peternell, Frank-Olaf Schreyer
出版情報: |
Berlin : Walter de Gruyter, 2000 x, 406 p. ; 25 cm |
子書誌情報: |
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目次情報:
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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 |
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16.
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図書
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Steven G. Krantz
出版情報: |
Boston, Mass. : Birkhäuser, c1999 xxiv, 290 p. ; 24 cm |
子書誌情報: |
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17.
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図書
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Sanford S. Miller, Petru T. Mocanu
目次情報:
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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.: |
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18.
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図書
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Seán Dineen
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19.
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図書
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edited by Keith M. Ball, Vitali Milman
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20.
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図書
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Adhemar Bultheel ... [et al.]
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: |
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21.
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図書
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S. Morosawa ... [et al.]
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22.
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図書
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C.A. Berenstein ... [et al.] ; editors, E. Casadio Tarabusi, M.A. Picardello, G. Zampieri
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23.
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図書
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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 |
子書誌情報: |
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24.
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図書
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Junjiro Noguchi ; translated by Junjiro Noguchi
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25.
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図書
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Reinhold Remmert ; translated by Leslie Kay
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 |
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26.
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図書
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by Edouard Goursat ; translated by Earle Raymond Hedrick and Otto Dunkel
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27.
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図書
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Serge Lang
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: |
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28.
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図書
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E.A. Grove, G. Ladas
出版情報: |
Boston : Houghton Mifflin, [1974] x, 221 p. ; 25 cm |
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29.
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図書
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Robert E. Greene, Steven G. Krantz
目次情報:
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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 |
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30.
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図書
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Svante Janson
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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31.
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図書
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Joseph Bak, Donald J. Newman
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32.
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図書
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Thomas Ransford
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: |
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33.
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図書
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edited by Rafał Abłamowicz and Pertti Lounesto
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34.
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図書
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Vladislav V. Kravchenko and Michael V. Shapiro
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35.
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図書
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F. Nevanlinna
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36.
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図書
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Liang-shin Hahn, Bernard Epstein
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37.
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図書
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by A.R. Forsyth
出版情報: |
Cambridge : Cambridge University press, 1918 xxiv, 855 p. ; 28 cm |
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38.
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図書
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edited by Herbert Clemens and János Kollár
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39.
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図書
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Christian Peskine
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40.
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図書
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by M.Z.v. Krzywoblocki
出版情報: |
Wien : Springer-Verlag, 1960 ix, 188 p. ; 28 cm |
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41.
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図書
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Carathéodory, Constantin, 1873-1950
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42.
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図書
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A.A. Gonchar, V.P. Havin, N.K. Nikolski, (eds.)
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 |
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43.
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図書
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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:
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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: |
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44.
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図書
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Theodore V. Hromadka II
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45.
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図書
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Klas Diederich (ed.)
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46.
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図書
|
Steven G. Krantz
目次情報:
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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: |
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47.
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図書
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Kichoon Yang
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48.
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図書
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von G.M. Golusin ; [Übersetzung aus dem Russischen: Doris-Ursula Pirl]
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49.
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図書
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by L.I. Ronkin
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50.
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図書
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Harold S. Shapiro
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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