Spectral Theory and Geometry
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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.Table of contents:1. Basic Riemannian geometry F. E. Burstall; 2. The Laplacian on Riemannian manifolds I. Chavel; 3. Computational spect...
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.
Table of contents:
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 Schrödinger operators on non-compact manifolds: qualitative results M. Shubin; 7. Lectures on wave invariants S. Zelditch.
Authoritative lectures from world experts on spectral theory and geometry, arising from a meeting held under the auspices of the ICMS in Edinburgh. Together they survey core material and go beyond to reach deeper results. For graduate students and experts alike, this book will be a highly useful resource.
Authoritative lectures from world experts on spectral theory and geometry.
Table of contents:
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 Schrödinger operators on non-compact manifolds: qualitative results M. Shubin; 7. Lectures on wave invariants S. Zelditch.
Authoritative lectures from world experts on spectral theory and geometry, arising from a meeting held under the auspices of the ICMS in Edinburgh. Together they survey core material and go beyond to reach deeper results. For graduate students and experts alike, this book will be a highly useful resource.
Authoritative lectures from world experts on spectral theory and geometry.
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