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The Analysis of Linear Partial Differential Operators III

Pseudo-Differential Operators

L. Hörmander (Autor)

Buch | Hardcover

VIII, 525 Seiten

1994 | 2., corr. Printing
Springer Berlin (Verlag)
978-3-540-13828-0 (ISBN)

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From the reviews: These two volumes (III & IV) complete L. Hoermander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators. Bull. AMS 16,1 (1987). This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation. ZBfM 612 (1987)

Lars Hörmander, born 1931 in Sweden, did his secondary schooling as well as his undergraduate and doctoral studies in Lund. His principle teacher and adviser at the University of Lund was Marcel Riesz until he returned, then Lars Gårding. In 1956 he worked in the USA, at the universities of Chicago, Kansas, Minnesota and New York, before returning to a chair at the University of Stockholm. He remained a frequent visitor to the US, particularly to Stanford and was Professor at the IAS, Princeton from 1964 to 1968. In 1968 he accepted a chair at the University of Lund, Sweden, where, today, he is Emeritus Professor. Hörmander's lifetime work has been devoted to the study of partial differential equations and its applications in complex analysis. In 1962 he was awarded the Fields Medal for his contributions to the general theory of linear partial differential operators.

Contents: Second Order Elliptic Operators.- Pseudo-Differential Operators.- Elliptic Operators on a Compact Manifold without Boundary.- Boundary Problems for Elliptic Differential Operators.- Symplectic Geometry.- Some Classes of (Micro-)Hypoelliptic Operators.- The Strictly Hyperbolic Cauchy Problem.- The Mixed Dirichlet-Cauchy Problem for Second Order Operators.- Appendix B: Some Spaces of Distributions.- Appendix C: Some Tools from Differential Geometry.- Bibliography.- Index.- Index of Notation.

Reihe/Serie	Grundlehren der mathematischen Wissenschaften ; 274
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	870 g
Einbandart	gebunden
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Operatoren
ISBN-10	3-540-13828-5 / 3540138285
ISBN-13	978-3-540-13828-0 / 9783540138280
Zustand	Neuware