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Spectral Theory and Geometry

Spectral Theory and Geometry

Spectral Theory and Geometry

E. Brian Davies
Yuri Safarov, King's College London
November 1999
Available
Paperback
9780521777490
AUD$110.86
exc GST
Paperback
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eBook

    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.

    • Indispensable for graduate students in this area
    • Authors are top names
    • Covers state of the art results

    Reviews & endorsements

    'The book provides an excellent overview of the relation between the spectral theory of partial differential operators and the geometry of the underlying manifolds.' Dmitri Vassiliev, Bulletin of the London Mathematical Society

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

    See more reviews

    Product details

    November 1999
    Paperback
    9780521777490
    344 pages
    229 × 154 × 21 mm
    0.49kg
    Available

    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.
      Contributors
    • F. E. Burstall, I. Chavel, E. B. Davies, M. Ashbaugh, A. Grigoryan, M. Shubin, S. Zelditch

    • Editors
    • E. Brian Davies
    • Yuri Safarov , King's College London