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9780521777490

Spectral Theory and Geometry

by
  • ISBN13:

    9780521777490

  • ISBN10:

    0521777496

  • Format: Paperback
  • Copyright: 1999-11-28
  • Publisher: Cambridge University Press

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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 reach deeper results. For graduate students and experts alike, this book will be a highly useful resource.

Table of Contents

Preface vii
List of lecture courses
viii
List of participants
ix
Basic Riemannian geometry
1(29)
F E Burstall
The Laplacian on Riemannian manifolds
30(46)
I Chavel
Computational spectral theory
76(19)
E B Davies
Isoperimetric and universal inequalities for eigenvalues
95(45)
M Ashbaugh
Estimates of heat kernels on Riemannian manifolds
140(86)
M Grigor'yan
Spectral theory of the Schrodinger operators on noncompact manifolds: qualitative results
226(58)
M Shubin
Lectures on wave invariants
284
S Zelditch

Supplemental Materials

What is included with this book?

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