Complexes of Differential Operators

Complexes of Differential Operators

by Nikolai Tarkhanov
     
 

The main topic of Complexes of Differential Operators is the study of general complexes of differential operators between sections of vector bundles. Although the global situation and the local one (i.e., complexes of partial differential operators on an open subset of Rn) are often similar in content, the invariant language permits the simplification of

Overview

The main topic of Complexes of Differential Operators is the study of general complexes of differential operators between sections of vector bundles. Although the global situation and the local one (i.e., complexes of partial differential operators on an open subset of Rn) are often similar in content, the invariant language permits the simplification of the notation and more clearly reveals the algebraic structure of some questions.
All of the recent developments in the theory of complexes of differential operators are dealt with to some degree: formal theory; existence theory; global solvability problem; overdetermined boundary problems; generalised Lefschetz theory of fixed points; qualitative theory of solutions of overdetermined systems. Considerable attention is paid to the theory of functions of several complex variables. Includes many examples and exercises.
Audience: Mathematicians, physicists and engineers studying the analysis of manifolds, partial differential equations and several complex variables.

Editorial Reviews

Booknews
A revised and updated translation from the original Russian work published in 1990, Novobirsk, Nauka. Gives a systematic account of complexes of differential operators on differentiable manifolds, for mathematicians, physicists, and engineers. The main topic is the study of general complexes of differential operators between sections of vector bundles. Treats, to some degree, all of the following directions within the general theory: the formal theory, the existence theory, the problem of global solvability, overdetermined boundary problems, the generalized Lefschetz theory of fixed points, and the qualitative theory of solutions of overdetermined systems. Considerable attention is given to connections and parallels with the theory of functions of several complex variables. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN-13:
9789401041447
Publisher:
Springer Netherlands
Publication date:
12/31/2013
Series:
Mathematics and Its Applications (closed) Series, #340
Edition description:
Softcover reprint of the original 1st ed. 1995
Pages:
396
Product dimensions:
6.14(w) x 9.21(h) x 0.86(d)

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