Spectral theory and geometry
著者
書誌事項
Spectral theory and geometry
(London Mathematical Society lecture note series, 273)
Cambridge University Press, 1999
- タイトル別名
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Spectral theory and geometry : ICMS Instructional Conference, Edinburgh 1998
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注記
"ICMS Instructional Conference, Edinburgh 1998"
Includes bibliographical references
内容説明・目次
内容説明
This volume brings together lectures from an instructional meeting on spectral theory and geometry held under the auspices of the International Centre for Mathematical Sciences in Edinburgh. The contributions here come from world experts and many are much expanded versions of the lectures they gave. Together they survey the core material and go beyond to reach deeper results. For graduate students and experts alike, this book will be a highly useful resource.
目次
- 1. Basic Riemannian geometry F. E. Burstall
- 2. The Laplacian on Riemannian manifolds I. Chavel
- 3. Computational spectral theory E. B. Davies
- 4. Isoperimetric and universal inequalities for eigenvalues M. Ashbaugh
- 5. Estimates of heat kernels on Riemannian manifolds A. Grigoryan
- 6. Spectral theory of the Schroedinger operators on non-compact manifolds: qualitative results M. Shubin
- 7. Lectures on wave invariants S. Zelditch.
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