Complexes of Differential Operators
Tarkhanov, Nikolai
ISBN 10: 0792337069 ISBN 13: 9780792337065
Editorial: Springer, 1995
Usado
Encuadernación de tapa dura
Librería:
Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
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Descripción
Descripción:
Zustand: Sehr gut | Seiten: 420 | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. N° de ref. del artículo 3034369/2
Sinopsis:
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.
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.
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Detalles bibliográficos
Título: Complexes of Differential Operators
Editorial: Springer
Año de publicación: 1995
Encuadernación: Encuadernación de tapa dura
Condición: Sehr gut