
Differential Equations on Complex Manifolds
Springer (Publisher)
Published on 6. December 2010
Book
Paperback/Softback
XII, 508 pages
978-90-481-4368-9 (ISBN)
Description
The present monograph is devoted to the complex theory of differential equations. Not yet a handbook, neither a simple collection of articles, the book is a first attempt to present a more or less detailed exposition of a young but promising branch of mathematics, that is, the complex theory of partial differential equations. Let us try to describe the framework of this theory. First, simple examples show that solutions of differential equations are, as a rule, ramifying analytic functions. and, hence, are not regular near points of their ramification. Second, bearing in mind these important properties of solutions, we shall try to describe the method solving our problem. Surely, one has first to consider differential equations with constant coefficients. The apparatus solving such problems is well-known in the real the ory of differential equations: this is the Fourier transformation. Un fortunately, such a transformation had not yet been constructed for complex-analytic functions and the authors had to construct by them selves. This transformation is, of course, the key notion of the whole theory.
More details
Series
Edition
1st ed. Softcover of orig. ed. 1994
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
XII, 508 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 29 mm
Weight
785 gr
ISBN-13
978-90-481-4368-9 (9789048143689)
DOI
10.1007/978-94-017-1259-0
Schweitzer Classification
Other editions
Additional editions

Boris Sternin | Victor Shatalov
Differential Equations on Complex Manifolds
Book
02/1994
Kluwer Academic Publishers
€106.99
Shipment within 15-20 days
Content
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.