Cargando…
First order elliptic systems : a function theoretic approach /
First order elliptic systems : a function theoretic approach.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| 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 |
Tabla de Contenidos:
- 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
- 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
- 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
- 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