Complexes of Differential Operators: v. 340 (Mathematics and its Applications) - Hardcover

Tarkhanov, Nikolai

Hardcover

ISBN 10: 0792337069 ISBN 13: 9780792337065

Verlag: Springer, 1995

Inhaltsangabe

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.

Über diesen Titel

Reseña del editor

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.

Reseña del editor

The main topic of this work is the study of general complexes of differential operators between sections of vector bundles. Although the global situation and the local one are often similar in content, the invariant language permits the simplification of the notation and more clearly reveals the algebraic structure of some questions. 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; generalized Lefschetz theory of fixed points; and qualitative theory of solutions of overdetermined systems. Considerable attention is paid to the theory of functions of several complex variables. Examples and exercises are included.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1995
• Sprache: Englisch
• ISBN 10: 0792337069
• ISBN 13: 9780792337065
• Einband: Tapa dura
• Anzahl der Seiten: 420
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Deutschland