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

Tarkhanov, Nikolai N.

 
9780792337065: Complexes of Differential Operators: v. 340 (Mathematics and its Applications)

Synopsis

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.

"synopsis" may belong to another edition of this title.

Synopsis

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.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9789401041447: Complexes of Differential Operators: 340 (Mathematics and Its Applications, 340)

Featured Edition

ISBN 10:  940104144X ISBN 13:  9789401041447
Publisher: Springer, 2012
Softcover