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The Analysis of Linear Partial Differential Operators III

Pseudo-Differential Operators

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Part of the book series: Classics in Mathematics (CLASSICS)

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  • ISBN: 978-3-540-49938-1
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Table of contents (9 chapters)

  1. Front Matter

    Pages I-VIII
  2. Introduction

    • Lars Hörmander
    Pages 1-2
  3. Second Order Elliptic Operators

    • Lars Hörmander
    Pages 3-62
  4. Pseudo-Differential Operators

    • Lars Hörmander
    Pages 63-179
  5. Symplectic Geometry

    • Lars Hörmander
    Pages 268-347
  6. Some Classes of (Micro-)Hypoelliptic Operators

    • Lars Hörmander
    Pages 348-384
  7. The Strictly Hyperbolic Cauchy Problem

    • Lars Hörmander
    Pages 385-415
  8. Back Matter

    Pages 471-526

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

Keywords

  • Analysis
  • MSC(2000):35A, G, H, J, L, M. P, S; 47 G; 58G
  • Operators
  • partial differential equations

Authors and Affiliations

  • Department of Mathematics, University of Lund, Lund, Sweden

    Lars Hörmander

About the author

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.

Bibliographic Information

  • Book Title: The Analysis of Linear Partial Differential Operators III

  • Book Subtitle: Pseudo-Differential Operators

  • Authors: Lars Hörmander

  • Series Title: Classics in Mathematics

  • DOI: https://doi.org/10.1007/978-3-540-49938-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2007

  • Softcover ISBN: 978-3-540-49937-4

  • eBook ISBN: 978-3-540-49938-1

  • Series ISSN: 1431-0821

  • Series E-ISSN: 2512-5257

  • Edition Number: 1

  • Number of Pages: VIII, 525

  • Additional Information: Originally published as volume 274 in the series: Grundlehren der mathematischen Wissenschaften

  • Topics: Analysis, Differential Equations

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • ISBN: 978-3-540-49938-1
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 69.99
Price excludes VAT (USA)