Differential Equations on Complex Manifolds / Edition 1

Differential Equations on Complex Manifolds / Edition 1

by Boris Sternin
     
 

ISBN-10: 0792327101

ISBN-13: 9780792327103

Pub. Date: 02/28/1994

Publisher: Springer Netherlands

This volume contains a unique, systematic presentation of the general theory of differential equations on complex manifolds.
The six chapters deal with questions concerning qualitative (asymptotic) theory of partial differential equations as well as questions about the existence of solutions in spaces of ramifying functions. Furthermore, much attention is

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Overview

This volume contains a unique, systematic presentation of the general theory of differential equations on complex manifolds.
The six chapters deal with questions concerning qualitative (asymptotic) theory of partial differential equations as well as questions about the existence of solutions in spaces of ramifying functions. Furthermore, much attention is given to applications. In particular, important problems connected with the continuation of (real) solutions to differential equations and with mathematical theory of diffraction are solved here.
The book is self-contained, and includes up-to-date results. All necessary terminology is explained.
For graduate students and researchers interested in differential equations in partial derivatives, complex analysis, symplectic and contact geometry, integral transformations and operational calculus, and mathematical physics.

Product Details

ISBN-13:
9780792327103
Publisher:
Springer Netherlands
Publication date:
02/28/1994
Series:
Mathematics and Its Applications (closed) Series, #276
Edition description:
1994
Pages:
508
Product dimensions:
6.14(w) x 9.21(h) x 0.24(d)

Table of Contents

Preface. Introduction. 1. Some Questions of Analysis and Geometry of Complex Manifolds. 2. Symplectic and Contact Structures. 3. Integral Transformations of Ramified Analytic Functions. 4. Laplace—Radon Integral Operators. 5. Cauchy Problem in Spaces of Ramified Functions. 6. Continuation of Solutions to Elliptic Equations. Bibliography. Index.

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