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Spectral Theory and Geometry

Spectral Theory and Geometry

Spectral Theory and Geometry

Editors:
E. Brian Davies
Yuri Safarov, King's College London
F. E. Burstall, I. Chavel, E. B. Davies, M. Ashbaugh, A. Grigoryan, M. Shubin, S. Zelditch
Published:
March 2011
Availability:
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Format:
Adobe eBook Reader
ISBN:
9780511893629

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$87.00
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$87.00 USD
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    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.

    • 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

    March 2011
    Adobe eBook Reader
    9780511893629
    0 pages
    0kg
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    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