1. Preface -- 2. List of lecture courses -- 3. List of participants -- 4. Basic Riemannian geometry / F.E. Burstall -- 5. The Laplacian on Riemannian manifolds / I. Chavel -- 6. Computational spectral theory / E.B. Davies -- 7. Isoperimetric and universal inequalities for eigenvalues / M. Ashbaugh -- 8. Estimates of heat kernels on Riemannian manifolds / A. Grigor'yan -- 9. Spectral theory of the Schrodinger operators on noncompact manifolds: qualitative results / M. Shubin -- 10. Lectures on wave invariants / S. Zelditch
Summary
"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 describe deeper results. For graduate students and experts alike, this book will be a useful resource."--Jacket
Notes
"Conference [held] between 30 March and 9 April 1998"--Page vii
