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Generalized analytic functions /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Ruso |
| Publicado: |
Oxford ; New York :
Pergamon Press,
1962.
|
| Colección: | International series of monographs in pure and applied mathematics ;
v. 25. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn898771832 | ||
| 003 | OCoLC | ||
| 005 | 20231117032948.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 141227s1962 enka ob 000 0 eng d | ||
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| 019 | |a 300507775 |a 567911807 |a 1149223102 | ||
| 020 | |a 9781483184678 |q (electronic bk.) | ||
| 020 | |a 1483184676 |q (electronic bk.) | ||
| 020 | |z 9780080096933 | ||
| 020 | |z 008009693X | ||
| 035 | |a (OCoLC)898771832 |z (OCoLC)300507775 |z (OCoLC)567911807 |z (OCoLC)1149223102 | ||
| 041 | 1 | |a eng |h rus | |
| 042 | |a dlr | ||
| 050 | 4 | |a QA331 |b .V413 1962 | |
| 072 | 7 | |a MAT |x 005000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 034000 |2 bisacsh | |
| 082 | 0 | 4 | |a 515.9 |2 23 |
| 100 | 1 | |a Vekua, I. N. |q (Il��i�a Nestorovich), |d 1907-1977. | |
| 240 | 1 | 0 | |a Obobshchennye analiticheskie fun�t�sii. |l English |
| 245 | 1 | 0 | |a Generalized analytic functions / |c by I.N. Vekua ; English translation editor, Ian N. Sneddon. |
| 260 | |a Oxford ; |a New York : |b Pergamon Press, |c 1962. | ||
| 300 | |a 1 online resource (xxix, 668 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a International series of monographs on pure and applied mathematics ; |v v. 25 | |
| 506 | |a 3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 5. Proof of the existence of a complete homeomorphism6. Reduction of a positive quadratic differential form to the canonical form� Isometric and isometric-conjugate coordinatesystems on a surface; 7. Reduction of equations of elliptic type to the canonicalform; CHAPTER III. FOUNDATIONS OF THE GENERAL THEORY OFGENERALIZED ANALYTIC FUNCTIONS; 1. Basic concepts, terminology and notations; 2. Integral equation for functions of the class; 3. Continuity and differentiability properties of functions of theclass; 4. Basic lemma. Generalizations of some classical theorems. | |
| 505 | 8 | |a 5. Integral representation of the second kind for generalizedanalytic functions6. Generating pair of functions of the classDerivative in the Bers sense; 7. Inversion of the non-linear integralequation; 8. Systems of fundamental generalized analytic functions andfundamental kernels of tbe class; 9. Adjoint equation. Green's identity. Equations of thesecond order; 10. Generalized Cauchy formula; 11. Continuous continuations of generalized analytic functions. Generalized principle of symmetry; 12. Compactness; 13. Representation of resolvents by means of kernels. | |
| 505 | 8 | |a 14. Representation of generalized analytic functions by meansof generalized integrals of the Cauchy type15. Complete systems of generalized analytic functions. Generalized power series; 16. Integral equations for the real part of a generalizedanalytic function; 17. Properties of solutions of elliptic systems of equationsof the general form; CHAPTER IV. BOUNDARY VALUE PROBLEMS; 1. Formulation of the generalized Riemann-Hilbert problem. Continuity properties of the solution of the problem; 2. The adjoint boundary value Problem �A'. Necessary and sufficient conditionsof solubility of Problem A. 3. Index of Problem A. Reduction of the boundary conditionof Problem A to the canonical form. | |
| 504 | |a Includes bibliographical references (pages 647-657). | ||
| 650 | 0 | |a Analytic functions. | |
| 650 | 6 | |a Fonctions analytiques. |0 (CaQQLa)201-0027519 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Analytic functions. |2 fast |0 (OCoLC)fst00808336 | |
| 700 | 1 | |a Sneddon, Ian Naismith. | |
| 700 | 1 | |a Ulam, S. | |
| 700 | 1 | |a Stark, M. | |
| 776 | 0 | 8 | |i Print version: |a Vekua, I.N. (Il��i�a Nestorovich), 1907-1977. |s Obobshchennye analiticheskie fun�t�sii. English. |t Generalized analytic functions. |d Oxford, New York, Pergamon Press, 1962 |w (DLC) 62009699 |w (OCoLC)1062888 |
| 830 | 0 | |a International series of monographs in pure and applied mathematics ; |v v. 25. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780080096933 |z Texto completo |