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The Asymptotic Distribution of Eigenvalues of Partial Differential Operators

About this Title

Yu. Safarov, King’s College, London, England and D. Vassiliev, University of Sussex, Falmer Brighton, England

Publication: Translations of Mathematical Monographs
Publication Year: 1997; Volume 155
ISBNs: 978-0-8218-0921-1 (print); 978-1-4704-4570-6 (online)
DOI: https://doi.org/10.1090/mmono/155
MathSciNet review: MR1414899
MSC: Primary 58G18; Secondary 35P20, 47F05, 47N20, 58G25

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Table of Contents

Front/Back Matter

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Chapters

• Chapter 1. Main results
• Chapter 2. Oscillatory integrals
• Chapter 3. Construction of the wave group
• Chapter 4. Singularities of the wave group
• Chapter 5. Proof of main results
• Chapter 6. Mechanical applications
• Appendix A. Spectral problem on the half-line
• Appendix B. Fourier Tauberian theorems
• Appendix C. Stationary phase formula
• Appendix D. Hamiltonian billiards: Proofs
• Appendix E. Factorization of smooth functions and Taylor-type formulae

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