Differential Equations on Complex Manifolds

Auteur: B. Iu Sternin
Taal: Engels
Differential Equations on Complex Manifolds

Samenvatting

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.

Productspecificaties

Inhoud

Taal
Engels
Bindwijze
Hardcover
Druk
1994
Verschijningsdatum
februari 1994
Aantal pagina's
508 pagina's
Illustraties
Met illustraties

Betrokkenen

Auteur
B. Iu Sternin V. E. Shatalov
Co-auteur
V. E. Shatalov
Uitgever
Springer

EAN

EAN
9780792327103

Overige kenmerken

Extra groot lettertype
Nee
NUR code
918

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