Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications

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David Gurarie

Symmetries and Laplacians

Introduction to Harmonic Analysis, Group Representations and Applications

David Gurarie

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English

Dover
11 January 2008

Mathematics & Sciences; Mathematical foundations; Differential & Riemannian geometry

Series: Dover Books on Mathema 1.4tics

Summary
Details

Designed as an introduction to harmonic analysis and group representations, this book examines concepts, ideas, results, and techniques related to symmetry groups and Laplacians. Its exposition is based largely on examples and applications of general theory, covering a wide range of topics rather than delving deeply into any particular area.

Author David Gurarie, a Professor of Mathematics at Case Western Reserve University, focuses on discrete or continuous geometrical objects and structures, such as regular graphs, lattices, and symmetric Riemannian manifolds. Starting with the basics of representation theory, Professor Gurarie discusses commutative harmonic analysis, representations of compact and finite groups, Lie groups, and the Heisenberg group and semidirect products. Among numerous applications included are integrable hamiltonian systems, geodesic flows on symmetric spaces, and the spectral theory of the Hydrogen atom (Schrodinger operator with Coulomb potential) explicated by its Runge-Lenz symmetry. Three helpful appendixes include supplemental information, and the text concludes with references, a list of frequently used notations, and an index.

By: David Gurarie
Imprint: Dover
Country of Publication: United States
Dimensions: Height: 234mm, Width: 164mm, Spine: 24mm
Weight: 715g
ISBN: 9780486462882
ISBN 10: 0486462889
Series: Dover Books on Mathema 1.4tics
Pages: 453
Publication Date: 11 January 2008
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active