close
1.

図書

図書
Stephen D. Fisher
出版情報: Belmont, Calif. : Wadsworth , Belmont, Calif. : Brooks/Cole Pub. Co., c1986  xii, 403 p. ; 25 cm
シリーズ名: The Wadsworth & Brooks/Cole mathematics series
所蔵情報: loading…
目次情報: 続きを見る
The complex plane / 1:
The complex numbers and the complex plane / 1.1:
A formal view of the complex numbers / 1.1.1:
Some geometry / 1.2:
Subsets of the plane / 1.3:
Functions and limits / 1.4:
The exponential, logarithm, and trigonometric functions / 1.5:
Line integrals and Green's theorem / 1.6:
Basic properties of analytic functions / 2:
Analytic and harmonic functions; the Cauchy-Riemann equations / 2.1:
Flows, fields, and analytic functions / 2.1.1:
Power series / 2.2:
Cauchy's theorem and Cauchy's formula / 2.3:
The Cauchy-Goursat theorem / 2.3.1:
Consequences of Cauchy's formula / 2.4:
Isolated singularities / 2.5:
The residue theorem and its application to the evaluation of definite integrals / 2.6:
Analytic functions as mappings / 3:
The zeros of an analytic function / 3.1:
The stability of solutions of a system of linear differential equations / 3.1.1:
Maximum modulus and mean value / 3.2:
Linear fractional transformations / 3.3:
Conformal mapping / 3.4:
Conformal mapping and flows / 3.4.1:
The Riemann mapping theorem and Schwarz-Christoffel transformations / 3.5:
Analytic and harmonic functions in applications / 4:
Harmonic functions / 4.1:
Harmonic functions as solutions to physical problems / 4.2:
Integral representations of harmonic functions / 4.3:
Boundary-value problems / 4.4:
Impulse functions and the Green's function of a domain / 4.5:
Transform methods / 5:
The Fourier transform: basic properties / 5.1:
Formulas Relating u and u / 5.2:
The Laplace transform / 5.3:
Applications of the Laplace transform to differential equations / 5.4:
The Z-Transform / 5.5:
The stability of a discrete linear system / 5.5.1:
A Table of Conformal Mappings / Appendix 1:
A Table of Laplace Transforms / Appendix 3:
Solutions to Odd-Numbered Exercises
Index
The complex plane / 1:
The complex numbers and the complex plane / 1.1:
A formal view of the complex numbers / 1.1.1:
2.

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
所蔵情報: loading…
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
所蔵情報: loading…
4.

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
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:
5.

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
所蔵情報: loading…
6.

図書

図書
Raghavan Narasimhan
出版情報: Boston ; Stuttgart : Birkhäuser, c1985  xvi, 266 p. ; 24 cm
所蔵情報: loading…
7.

図書

図書
Anthony S. B. Holland
出版情報: New York : Elsevier North Holland, c1980  xii, 304 p. ; 24 cm
所蔵情報: loading…
8.

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
所蔵情報: loading…
9.

図書

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

図書

図書
edited by Joseph Hersch and Alfred Huber
出版情報: Basel ; Boston : Birkhäuser Verlag, 1988  xii, 245 p. ; 24 cm
所蔵情報: loading…
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼