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Spectral theory and geometry : ICMS Instructional Conference, Edinburgh 1998 / edited by Brian Davies & Yuri Safarov.

By: Contributor(s): Material type: TextTextSeries: London Mathematical Society lecture note series ; 273.Publisher: Cambridge : Cambridge University Press, 1999Description: 1 online resource (xii, 328 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511566165 (ebook)
Other title:
  • Spectral Theory & Geometry
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 515.7222 21
LOC classification:
  • QA614.95 .I26 1998
Online resources:
Contents:
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 reach deeper results. For graduate students and experts alike, this book will be a highly useful resource.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

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.

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