Complexes of Differential Operators - Couverture rigide

Tarkhanov, Nikolai N.

Couverture rigide

ISBN 10 : 0792337069 ISBN 13 : 9780792337065

Editeur : Kluwer Academic Publishers, 1995

Synopsis

Preface to the English Translation. Preface to the Russian edition. Introduction. List of main notations. 1. Resolution of differential operators. 2. Parametrices and fundamental solutions of differential complexes.3. Sokhotskii-Plemelj formulas for elliptic complexes. 4. Boundary problems for differential complexes. 5. Duality theory for cohomologies of differential complexes. 6. The Atiyah-Bott-Lefschetz theorem on fixed points for elliptic complexes. Bibliography. Name index. Subject index. Index of notation.

A propos du livre

Présentation de l'éditeur

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.

Détails de l'édition

• Éditeur: Kluwer Academic Publishers
• Date d'édition: 1995
• Langue: anglais
• ISBN 10: 0792337069
• ISBN 13: 9780792337065
• Reliure: Relié
• Nombre de pages: 416
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Allemagne