Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications (Dover Books on Mathematics) (Paperback)

Before placing an order, please note:

  • You'll receive a confirmation email once your order is complete and ready for pickup. 
  • If you place a pre-order in the same order as currently available titles, an additional shipping fee will be added to your order. 
  • Women & Children First is not responsible for lost or stolen packages.
Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications (Dover Books on Mathematics) Cover Image
$24.95
Unavailable

Description


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.
Product Details
ISBN: 9780486462882
ISBN-10: 0486462889
Publisher: Dover Publications
Publication Date: January 11th, 2008
Pages: 453
Language: English
Series: Dover Books on Mathematics