Spectral Theory and Geometry

Spectral Theory and Geometry

by E. Brian Davies
     
 

ISBN-10: 0521777496

ISBN-13: 9780521777490

Pub. Date: 08/28/2005

Publisher: Cambridge University Press

This volume brings together lectures from a conference on spectral theory and geometry held under the auspices of the International Centre for Mathematical Sciences in Edinburgh. The contributions by world experts include expanded versions of many of the original lectures. Together, they survey the core material and go beyond to reach deeper results. For graduate

Overview

This volume brings together lectures from a conference on spectral theory and geometry held under the auspices of the International Centre for Mathematical Sciences in Edinburgh. The contributions by world experts include expanded versions of many of the original lectures. 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.

Product Details

ISBN-13:
9780521777490
Publisher:
Cambridge University Press
Publication date:
08/28/2005
Series:
London Mathematical Society Lecture Note Series, #273
Pages:
344
Product dimensions:
5.98(w) x 8.98(h) x 0.79(d)

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.

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