Spectral Theory and Geometry

Authoritative lectures from world experts on spectral theory and geometry.

E. Brian Davies (Edited by), Yuri Safarov (Edited by)

9780521777490, Cambridge University Press

Paperback, published 30 September 1999

344 pages
22.9 x 15.4 x 2.1 cm, 0.49 kg

'For graduate students and experts alike, this book will be a highly useful resource.' L'Enseignement Mathématique

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.

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.

Subject Areas: Calculus & mathematical analysis [PBK]