The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis - Softcover

Hörmander, Lars

Softcover

ISBN 10: 3540006621 ISBN 13: 9783540006626

Verlag: Springer, 2013

Inhaltsangabe

The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general course in modern analysis on a graduate student level and not only as the beginning of a specialized course in partial differen­ tial equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of gen­ eral interest; there are none to the last two chapters. Most of the exercises are just routine problems meant to give some familiarity with standard use of the tools introduced in the text. Others are extensions of the theory presented there. As a rule rather complete though brief solutions are then given in the answers and hints. To a large extent the exercises have been taken over from courses or examinations given by Anders Melin or myself at the University of Lund. I am grateful to Anders Melin for letting me use the problems originating from him and fornumerous valuable comments on this collection. As in the revised printing of Volume II, a number of minor flaws have also been corrected in this edition. Many of these have been called to my attention by the Russian translators of the first edition, and I wish to thank them for our excellent collaboration.

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Lars Hörmander was born on January 24, 1931, on the southern coast of Sweden. His secondary schooling, as well as his undergraduate and doctoral studies, took place in Lund, Sweden. His principal teacher and adviser at the University of Lund was Marcel Riesz, until his retirement, and 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, and remained there until his retirement in 1996. He passed away on November 25, 2012, in Lund, at the age of 81. Hörmander's life's work was 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. He was also awarded the Wolf Prize in 1988, and the Leroy P. Steele Prize in 2006. His Analysis of Linear Partial Differential Operators I-IV is considered a standard work on the subject of linear partial differential operators.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2013
• Sprache: Englisch
• ISBN 10: 3540006621
• ISBN 13: 9783540006626
• Einband: Taschenbuch
• Auflage: 2
• Anzahl der Seiten: 456
• Kontakt zum Hersteller: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Tiergartenstr. 17; Heidelberg; 69121; Deutschland