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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Differential Equations on Complex Manifolds

Differential Equations on Complex Manifolds

Sternin, Boris
Shatalov, Victor

Paperback

Series: Mathematics and Its Applications, Book 276

General Mathematics

ISBN10: 9048143683
ISBN13: 9789048143689
Publisher: Springer Nature
Published: Dec 6 2010
Pages: 508
Weight: 1.60
Height: 1.05 Width: 6.14 Depth: 9.21
Language: English
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.

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