Spectral Theory and Geometry

Erscheinungsjahr 2005
ISBN: 978-0-521-77749-0
Verlag: Cambridge University Press

Buch, Englisch, Band 273, 340 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 559 g

Reihe: London Mathematical Society Lecture Note Series

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.

Autoren/Hrsg.

Davies, E. Brian

Safarov, Yuri

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines

Inhaltsverzeichnis

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.