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First order elliptic systems : a function theoretic approach /

First order elliptic systems : a function theoretic approach.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gilbert, Robert P., 1932-
Otros Autores: Buchanan, James L.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, 1983.
Colección:Mathematics in science and engineering ; v. 163.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo

MARC

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100 1 |a Gilbert, Robert P.,  |d 1932- 
245 1 0 |a First order elliptic systems :  |b a function theoretic approach /  |c Robert P. Gilbert, James L. Buchanan. 
260 |a New York :  |b Academic Press,  |c 1983. 
300 |a 1 online resource (xi, 281 pages) 
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 Mathematics in science and engineering ;  |v v. 163 
504 |a Includes bibliographical references (pages 269-274) and index. 
588 0 |a Print version record. 
505 0 |a Front Cover; First Order Elliptic Systems: A Function Theoretic Approach; Copyright Page; Contents; Preface; Chapter 0. Introduction; Chapter 1. Elliptic Systems in the Plane; 1. Introduction; 2. Hyperanalytic Functions; 3. Generalized Derivatives and the Hypercomplex Pompieu Operator; 4. Generalized Hyperanalytic Functions and Liouville's Theorem; 5. Cauchy Representation for Generalized Hyperanalytic Functions; 6. M-Analytic Functions; 7. Approximate Solutions; Chapter 2. Boundary Value Problems; 1. Introduction; 2. The Plemlj Formulas; 3. The Hilbert Problem for Hyperanalytic Functions 
505 8 |a 4. The Representation of a Piecewise Generalized Hyperanalytic Function in Terms of a Density5. The Hilbert Problem for Generalized Hyperanalytic Functions; 6. The Hilbert Problem in the Purely Hypercomplex Case; 7. The Riemann-Hilbert Problem for Hypercomplex Functions; 8. The Representation of a Generalized Hyperanalyiic Function in Terms of a Real Density; 9. The Riemann-Hilbert Problem for Generalized Hyperanalytic Functions; 10. The Riemann-Hilbert Problem in the Purely Hypercomplex Case; Chapter 3. Reductions to Hyperanalyticity; 1. Introduction; 2. Similarity Principles 
505 8 |a 3. Global Similarity Principle4. The Riemann-Hilbert Problem; 5. Hyperanalytic Functions Having Distributional Boundary Data; 6. Nonlinear Problems and Reductions to Linear Problems; 7. Liouville's Theorem and the Similarity Principle for Pascali Systems; Chapter 4. Function Theory over Clifford Algebras; 1. Introduction; 2. Regular Functions; 3. Hilbert Modules; 4. Liouville's Theorem; 5. a-Holomorphic Functions; 6. Generalized Regular Functions in Rn; 7. Overdetermined Elliptic Systems; 8. Function Theory for Higher Order Elliptic Systems with Analytic Coefficients 
505 8 |a 9. Commutative Alternatives for Higher Dimensional Function TheoryChapter 5. Partial Differential Equations of Several Complex Variables; 1. Inhomogeneous Cauchy-Riemann Equations in Polycylinders; 2. Inhomogeneous Cauchy-Riemann Systems for Several Unknowns; 3. Existence Theorems for Solutions of Partial Differential Equations in Several Complex Variables; 4. Real-Linear Equations in Two Complex Variables; 5. Nonhomogeneous Cauchy-Riemann Equations in Analytic Polyhedra; 6 . Pluriharmonic Functions; Bibliography; Index 
520 |a First order elliptic systems : a function theoretic approach. 
650 0 |a Differential equations, Elliptic. 
650 6 |a �Equations diff�erentielles elliptiques.  |0 (CaQQLa)201-0041232 
650 7 |a MATHEMATICS  |x Differential Equations  |x Partial.  |2 bisacsh 
650 7 |a Differential equations, Elliptic.  |2 fast  |0 (OCoLC)fst00893458 
650 7 |a Equations diff�erentielles elliptiques.  |2 ram 
700 1 |a Buchanan, James L. 
776 0 8 |i Print version:  |a Gilbert, Robert P., 1932-  |t First order elliptic systems.  |d New York : Academic Press, 1983  |z 9780122832802  |w (DLC) 82008703  |w (OCoLC)8452388 
830 0 |a Mathematics in science and engineering ;  |v v. 163. 
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