Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications (Volume 174) (North-Holland Mathematics Studies, Volume 174) - Hardcover

Gurarie, D.

Hardcover

ISBN 10: 0444886125 ISBN 13: 9780444886125

Publisher: North-Holland, 1992

Synopsis

Designed as an introduction to harmonic analysis and group representations,this book covers a wide range of topics rather than delving deeply into anyparticular one. In the words of H. Weyl ...it is primarily meant forthe humble, who want to learn as new the things set forth therein, rather thanfor the proud and learned who are already familiar with the subject and merelylook for quick and exact information....The main objective is tointroduce the reader to concepts, ideas, results and techniques that evolvearound symmetry-groups, representations and Laplacians. Morespecifically, the main interest concerns geometrical objects and structures{X}, discrete or continuous, that possess sufficiently large symmetrygroup G, such as regular graphs (Platonic solids), lattices, andsymmetric Riemannian manifolds. All such objects have a natural Laplacian&Dgr;, a linear operator on functions over X, invariant underthe group action. There are many problems associated with Laplacians onX, such as continuous or discrete-time evolutions, on X,random walks, diffusion processes, and wave-propagation. This book containssufficient material for a 1 or 2-semester course.

Edition details

• Publisher: North-Holland
• Publication date: 1992
• Language: English
• ISBN 10: 0444886125
• ISBN 13: 9780444886125
• Binding: Hardcover
• Number of pages: 452