
Symmetries and Laplacians
Introduction to Harmonic Analysis, Group Representations and Applications
- 1st Edition, Volume 174 - May 18, 1992
- Imprint: North Holland
- Author: D. Gurarie
- Language: English
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 8 7 2 8 5 - 8
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… Read more
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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: 1
- Volume: 174
- Published: May 18, 1992
- Imprint: North Holland
- Language: English
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