Generalized analytic functions

by Vekua, I. N., (Ilʹi︠a︡ Nestorovich)

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Title Statements

Full title :Generalized analytic functions / by I.N. Vekua ; English translation editor, Ian N. Sneddon.

Edition Statements

Publication Date:1962.

Publication Statements

Publisher(s):Pergamon Press
Place of Publication:Oxford
Language:eng
Publication Date:1962.

The Physical Object

Description:1 online resource (xxix, 668 pages) : : illustrations

Edition Identifiers

ISBN:9781483184678, 1483184676
oclc:ocn898771832
LC Classification:QA331
Dewey Decimal:515.9

Front Cover; Generalized Analytic Functions; Copyright Page; ANNOTATION; Table of Contents; FOREWORD; PART ONE: FOUNDATIONS OF THE GENERAL THEORY OF GENERALIZED ANALYTIC FUNCTIONS AND BOUNDARYVALUE PROBLEMS; CHAPTER I. SOME CLASSES OF FUNCTIONS ANDOPERATORS; 1. Classes of functions and functional spaces; 2. Classes of curves and domains. Some properties of conformalmapping; 3. Some properties of Cauchy type integrals; 4· Non-homogeneous Cauchy-Riemann system; 5. Generalized derivatives in the Sobolev sense and theirproperties; 6. Properties of the operatorTg.

7. Green's formula for the class of functions D1p. Arealderivative8. On differential properties of functions of the form TGf. OperatorII; 9. Extension of the operatorII; 10. Some other properties of functions of the classes DZ(G)and D-Z(G; CHAPTEE II. REDUCTION OF A POSITIVE DIFFERENTIAL QUADRATIC FORM TO THE CANONICAL FORM. BELTRAMFS EQUATION. GEOMETRICAPPLICATIONS; 1. Introductory remarks. Homeomorphisms of a quadraticform; 2. Beltrami's system of equations; 3. Construction of the basic homeomorphism of Beltrami'sequation; 4. Proof of existence of a local homeomorphism.

5. Proof of the existence of a complete homeomorphis…