close
1.

図書
図書
1. Complex analysis and algebraic geometry : a volume in memory of Michael Schneider
Editors, Thomas Peternell, Frank-Olaf Schreyer
出版情報: Berlin : Walter de Gruyter, 2000  x, 406 p. ; 25 cm
所蔵情報: loading…
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
2.

図書
図書
2. Differential subordinations : theory and applications
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
所蔵情報: loading…
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.：
3.

図書
図書
3. Holomorphic dynamics
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
所蔵情報: loading…
4.

図書
図書
4. Complex polynomials
T. Sheil-Small
出版情報: Cambridge : Cambridge University Press, 2002  xix, 428 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 75
所蔵情報: loading…
目次情報: 続きを見る
Preface
List of notation
The algebra of polynomials / 1：
The degree principle and the fundamental theorem of algebra / 2：
The Jacobian problem / 3：
Analytic and harmonic functions in the unit disc / 4：
Circular regions and Grace's theorem / 5：
The Ilieff-Sendov conjecture / 6：
Self-inversive polynomials / 7：
Duality and an extension of Grace's theorem to rational functions / 8：
Real polynomials / 9：
Level curves / 10：
Miscellaneous topics / 11：
References
Index
Preface
List of notation
The algebra of polynomials / 1：
5.

図書
図書
5. Complex analysis
Elias M. Stein and Rami Shakarchi
出版情報: Princeton, N.J. : Princeton University Press, c2003  xvii, 379 p. ; 24 cm
シリーズ名: Princeton lectures in analysis ; 2
所蔵情報: loading…
目次情報: 続きを見る
Foreword
Introduction
Preliminaries to Complex Analysis / Chapter 1：
Complex numbers and the complex plane / 1：
Basic properties / 1.1：
Convergence / 1.2：
Sets in the complex plane / 1.3：
Functions on the complex plane / 2：
Continuous functions / 2.1：
Holomorphic functions / 2.2：
Power series / 2.3：
Integration along curves / 3：
Exercises / 4：
Cauchy's Theorem and Its Applications / Chapter 2：
Goursat's theorem
Local existence of primitives and Cauchy's theorem in a disc
Evaluation of some integrals
Cauchy's integral formulas
Further applications / 5：
Morera's theorem / 5.1：
Sequences of holomorphic functions / 5.2：
Holomorphic functions defined in terms of integrals / 5.3：
Schwarz reflection principle / 5.4：
Runge's approximation theorem / 5.5：
Problems / 6：
Meromorphic Functions and the Logarithm / Chapter 3：
Zeros and poles
The residue formula
Examples
Singularities and meromorphic functions
The argument principle and applications
Homotopies and simply connected domains
The complex logarithm
Fourier series and harmonic functions
The Fourier Transform / 8：
The class F
Action of the Fourier transform on F
Paley-Wiener theorem
Entire Functions / Chapter 5：
Jensen's formula
Functions of finite order
Infinite products
Generalities / 3.1：
Example: the product formula for the sine function / 3.2：
Weierstrass infinite products
Hadamard's factorization theorem
The Gamma and Zeta Functions / Chapter 6：
The gamma function
Analytic continuation
Further properties of T
The zeta function
Functional equation and analytic continuation
The Zeta Function and Prime Number Theorem / Chapter 7：
Zeros of the zeta function
Estimates for 1/s(s)
Reduction to the functions v and v1
Proof of the asymptotics for v1
Note on interchanging double sums
Conformal Mappings / Chapter 8：
Conformal equivalence and examples
The disc and upper half-plane
Further examples
The Dirichlet problem in a strip
The Schwarz lemma; automorphisms of the disc and upper half-plane
Automorphisms of the disc
Automorphisms of the upper half-plane
The Riemann mapping theorem
Necessary conditions and statement of the theorem
Montel's theorem
Proof of the Riemann mapping theorem / 3.3：
Conformal mappings onto polygons
Some examples / 4.1：
The Schwarz-Christoffel integral / 4.2：
Boundary behavior / 4.3：
The mapping formula / 4.4：
Return to elliptic integrals / 4.5：
An Introduction to Elliptic Functions / Chapter 9：
Elliptic functions
Liouville's theorems
The Weierstrass p function
The modular character of elliptic functions and Eisenstein series
Eisenstein series
Eisenstein series and divisor functions
Applications of Theta Functions / Chapter 10：
Product formula for the Jacobi theta function
Further transformation laws
Generating functions
The theorems about sums of squares
The two-squares theorem
The four-squares theorem
Asymptotics / Appendix A：
Bessel functions
Laplace's method; Stirling's formula
The Airy function
The partition function
Simple Connectivity and Jord / Appendix B：
Foreword
Introduction
Preliminaries to Complex Analysis / Chapter 1：
6.

図書
図書
6. Complex analysis (: hc ; : softcover)
Theodore W. Gamelin
出版情報: New York : Springer, c2001  xviii, 478 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
所蔵情報: loading…
7.

図書
図書
7. Les six opérations de Grothendieck et le formalisme des cycles évanescents dans le monde motivique (1 ; 2)
Joseph Ayoub
出版情報: Paris : Société Mathématique de France, 2007-  v. ; 24 cm
シリーズ名: Astérisque ; 314-315
所蔵情報: loading…
8.

図書
図書
8. Function theory on planar domains : a second course in complex analysis (: pbk)
Stephen D. Fisher
出版情報: Mineola, N.Y. : Dover Publications, 2007  xiii, 269 p. ; 24 cm
シリーズ名: Dover books on mathematics
所蔵情報: loading…
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：
9.

図書
図書
9. Geometric Q[p] functions
Jie Xiao
出版情報: Basel : Birkhäuser Verlag, c2006  x, 240 p. ; 24 cm
シリーズ名: Frontiers in mathematics
所蔵情報: loading…
目次情報: 続きを見る
Preface
Preliminaries / 1：
Background / 1.1：
Logarithmic Conformal Mappings / 1.2：
Conformal Domains and Superpositions / 1.3：
Descriptions via Harmonic Majorants / 1.4：
Regularity for the Euler-Lagrange Equation / 1.5：
Notes / 1.6：
Poisson versus Berezin with Generalizations / 2：
Boundary Value and Brownian Motion / 2.1：
Derivative-free Module via Poisson Extension / 2.2：
Derivative-free Module via Berezin Transformation / 2.3：
Mixture of Derivative and Quotient / 2.4：
Dirichlet Double Integral without Derivative / 2.5：
Isomorphism, Decomposition and Discreteness / 2.6：
Carleson Measures under an Integral Operator / 3.1：
Isomorphism to a Holomorphic Morrey Space / 3.2：
Decomposition via Bergman Style Kernels / 3.3：
Discreteness by Derivatives / 3.4：
Characterization in Terms of a Conjugate Pair / 3.5：
Invariant Preduality through Hausdorff Capacity / 3.6：
Nonlinear Integrals and Maximal Operators / 4.1：
Adams Type Dualities / 4.2：
Quadratic Tent Spaces / 4.3：
Preduals under Invariant Pairing / 4.4：
Invariant Duals of Vanishing Classes / 4.5：
Cauchy Pairing with Expressions and Extremities / 4.6：
Background on Cauchy Pairing / 5.1：
Cauchy Duality by Dot Product / 5.2：
Atom-like Representations / 5.3：
Extreme Points of Unit Balls / 5.4：
As Symbols of Hankel and Volterra Operators / 5.5：
Hankel and Volterra from Small to Large Spaces / 6.1：
Carleson Embeddings for Dirichlet Spaces / 6.2：
More on Carleson Embeddings for Dirichlet Spaces / 6.3：
Hankel and Volterra on Dirichlet Spaces / 6.4：
Estimates for Growth and Decay / 6.5：
Convexity Inequalities / 7.1：
Exponential Integrabilities / 7.2：
Hadamard Convolutions / 7.3：
Characteristic Bounds of Derivatives / 7.4：
Holomorphic Q-Classes on Hyperbolic Riemann Surfaces / 7.5：
Basics about Riemann Surfaces / 8.1：
Area and Seminorm Inequalities / 8.2：
Intermediate Setting - BMOA Class / 8.3：
Sharpness / 8.4：
Limiting Case - Bloch Classes / 8.5：
Bibliography / 8.6：
Index
Preface
Preliminaries / 1：
Background / 1.1：
10.

図書
図書
10. Dynamics in one complex variable. 3rd ed (: [hbk] ; : pbk)
by John Milnor
出版情報: Princeton, N.J. : Princeton University Press, 2006  viii, 304 p. ; 27 cm
シリーズ名: Annals of mathematics studies ; no. 160
所蔵情報: loading…
目次情報: 続きを見る
List of Figures
Preface to the Third Edition
Chronological Table
Riemann Surfaces
Simply Connected Surfaces / 1：
Universal Coverings and the Poincare Metric / 2：
Normal Families: Montel's Theorem / 3：
Iterated Holomorphic Maps
Fatou and Julia: Dynamics on the Riemann Sphere / 4：
Dynamics on Hyperbolic Surfaces / 5：
Dynamics on Euclidean Surfaces / 6：
Smooth Julia Sets / 7：
Local Fixed Point Theory
Geometrically Attracting or Repelling Fixed Points / 8：
Bottcher's Theorem and Polynomial Dynamics / 9：
Parabolic Fixed Points: The Leau-Fatou Flower / 10：
Cremer Points and Siegel Disks / 11：
Periodic Points: Global Theory
The Holomorphic Fixed Point Formula / 12：
Most Periodic Orbits Repel / 13：
Repelling Cycles Are Dense in J / 14：
Structure of the Fatou Set
Herman Rings / 15：
The Sullivan Classification of Fatou Components / 16：
Using the Fatou Set to Study the Julia Set
Prime Ends and Local Connectivity / 17：
Polynomial Dynamics: External Rays / 18：
Hyperbolic and Subhyperbolic Maps / 19：
Theorems from Classical Analysis / Appendix A：
Length-Area-Modulus Inequalities / Appendix B：
Rotations, Continued Fractions, and Rational Approximation / Appendix C：
Two or More Complex Variables / Appendix D：
Branched Coverings and Orbifolds / Appendix E：
No Wandering Fatou Components / Appendix F：
Parameter Spaces / Appendix G：
Computer Graphics and Effective Computation / Appendix H：
References
Index
List of Figures
Preface to the Third Edition
Chronological Table
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼