The Analysis of Linear Partial Differential Operators IV
Fourier Integral Operators
1st Edition
Published on 16. December 1994
Book
Hardback
VII, 352 pages
978-3-540-13829-7 (ISBN)
Description
From the reviews:
"Volumes III and IV complete L. Hörmander'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." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 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." J. Brüning in Zentralblatt MATH, 1987
Honours awarded to Lars Hörmander: Fields Medal 1962, Speaker at International Congress 1970, Wolf Prize 1988, AMS Steele Prize 2006
Reviews / Votes
From the reviews: "Volumes III and IV complete L. Hörmander'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." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 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." J. Brüning in Zentralblatt MATH, 1987."The fourth volume of the impressive monograph "The Analysis of Partial Differential Operators'' by Lars Hörmander continues the detailed and unified approach of pseudo-differential and Fourier integral operators. The present book is a paperback edition of the fourth volume of this monograph. . The book has been one of the most elegant, inspiring and influential texts in Mathematics, and contains results used in many important developments in Partial Differential Equations and Mathematical Physics." (Viorel Iftimie, Zentralblatt MATH, Vol. 1178, 2010)More details
Series
Edition
1., st ed. 1985. Corr. 2nd printing 1994
Language
English
Place of publication
Berlin
Germany
Target group
Professional and scholarly
Research
Illustrations
7 black & white illustrations
Dimensions
Height: 23.4 cm
Width: 15.6 cm
Thickness: 22 mm
Weight
689 gr
ISBN-13
978-3-540-13829-7 (9783540138297)
DOI
10.1007/978-3-642-00136-9
Schweitzer Classification
Other editions
Additional editions
Book
04/2009
Springer
€58.84
Shipment within 7-9 days
Person
Biography Lars Hörmander
Born on January 24, 1931, on the southern coast of Sweden, Lars Hörmander 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. His book Linear Partial Differential Operators published 1963 by Springer in the Grundlehren series was the first major account of this theory. His four volume text The Analysis of Linear Partial Differential Operators published in the same series 20 years later illustrates the vast expansion of the subject in that period.
Content
Lagrangian Distributions and Fourier Integral Operators.- Pseudo Differential operators of principal type.- Subelliptic operators.- Uniqueness for the Cauchy problem.- Spectral Asymptotics.- Long range scattering theory.