Classics in Mathematics

The Analysis of Linear Partial Differential Operators III

Pseudo-Differential Operators

Authors: Hörmander, Lars

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About this book

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

About the authors

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. Hid 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.

Table of contents (9 chapters)

  • Introduction

    Hörmander, Lars

    Pages 1-2

  • Second Order Elliptic Operators

    Hörmander, Lars

    Pages 3-62

  • Pseudo-Differential Operators

    Hörmander, Lars

    Pages 63-179

  • Elliptic Operators on a Compact Manifold Without Boundary

    Hörmander, Lars

    Pages 180-230

  • Boundary Problems for Elliptic Differential Operators

    Hörmander, Lars

    Pages 231-267

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-49938-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA
  • ISBN 978-3-540-49937-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Analysis of Linear Partial Differential Operators III
Book Subtitle
Pseudo-Differential Operators
Authors
Series Title
Classics in Mathematics
Copyright
2007
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-49938-1
DOI
10.1007/978-3-540-49938-1
Softcover ISBN
978-3-540-49937-4
Series ISSN
1431-0821
Edition Number
1
Number of Pages
VIII, 525
Additional Information
Originally published as volume 274 in the series: Grundlehren der mathematischen Wissenschaften
Topics