Complexes of Differential Operators: v. 340 - Rilegato

Tarkhanov, Nikolai N.

Rilegato

ISBN 10: 0792337069 ISBN 13: 9780792337065

Casa editrice: Kluwer Academic Pub, 1995

Riassunto

This book gives a systematic account of complexes of differential operators on differentiable manifolds.
The main topic is the study of general complexes of differential operators between sections of vector bundles. Although the global situation and the local one (that is, complexes of partial differential operators on an open subset of R [superscript n]), are often similar in content, the invariant language permits the simplification of the notation and reveals the algebraic nature of some questions more clearly. The last few decades have seen the delineation of the following directions within the general theory of complexes of differential operators: the formal theory; the existence theory; the problem of global solvability; overdetermined boundary problems; the generalised Lefschetz theory of fixed points; and the qualitative theory of solutions of overdetermined systems. All of these fields are treated here to some degree. Considerable attention is given to connections and parallels with the theory of functions of several complex variables. Many examples and exercises are included.
This book will be of interest to mathematicians, physicists, and engineers whose work involves the analysis on manifolds, partial differential equations and several complex variables.

Su questo libro

Contenuti

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.

Dettagli dell'edizione

• Editore: Kluwer Academic Pub
• Data di pubblicazione: 1995
• Lingua: Inglese
• ISBN 10: 0792337069
• ISBN 13: 9780792337065
• Rilegatura: Copertina rigida
• Numero di pagine: 416
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania