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The Asymptotic Distribution of Eigenvalues of Partial Differential Operators (Translations of Mathematical Monographs) - Hardcover

 
9780821845776: The Asymptotic Distribution of Eigenvalues of Partial Differential Operators (Translations of Mathematical Monographs)

Synopsis

As the subject of extensive research for over a century, spectral asymptotics for partial differential operators attracted the attention of many outstanding mathematicians and physicists. This book studies the eigenvalues of elliptic linear boundary value problems and has as its main content a collection of asymptotic formulas describing the distribution of eigenvalues with high sequential numbers. Asymptotic formulas are used to illustrate standard eigenvalue problems of mechanics and mathematical physics. The volume provides a basic introduction to all the necessary mathematical concepts and tools, such as microlocal analysis, billiards, symplectic geometry and Tauberian theorems. It is self-contained and would be suitable as a graduate text.

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Language Notes

Text: English (translation)
Original Language: Russian

Review

In the reviewer's opinion, this book is indispensable for serious students of spectral asymptotics. --Lars Hörmander for the Bulletin of the London Mathematical Society

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  • PublisherAmer Mathematical Society
  • Publication date1996
  • ISBN 10 0821845772
  • ISBN 13 9780821845776
  • BindingHardcover
  • LanguageEnglish
  • Number of pages354

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9780821809211: The Asymptotic Distribution of Eigenvalues of Partial Differential Operators (Translations of Mathematical Monographs, 155)

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ISBN 10:  0821809210 ISBN 13:  9780821809211
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Safarov, Yu
Published by Amer Mathematical Society, 1996
ISBN 10: 0821845772 ISBN 13: 9780821845776
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ISBN 10: 0821845772 ISBN 13: 9780821845776
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