Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications (North-holland Mathematical Library) by David Gurarie

Science & Math | Mathematics
Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications (North-holland Mathematical Library)
Title:
Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications (North-holland Mathematical Library)
Author:
David Gurarie
ISBN:
0444886125
ISBN13:
978-0444886125
Size PDF:
1356 kb
Size epub:
1900 kb
Publisher:
North-Holland (June 1, 1992)
Language:
English
Other formats:
pdf, odf, mobi, cb7, azw, lit, ibooks
Rating:
3.5
Votes:
415
Designed as an introduction to harmonic analysis and group representations, this book covers a wide range of topics rather than delving deeply into any particular one. In the words of H. Weyl "...it is primarily meant for the humble, who want to learn as new the things set forth therein, rather than for the proud and learned who are already familiar with the subject and merely look for quick and exact information..." . The main objective is to introduce the reader to concepts, ideas, results and techniques that evolve around symmetry-groups, representations and Laplacians . More specifically, the main interest concerns geometrical objects and structures { X }, discrete or continuous, that possess sufficiently large symmetry group G , such as regular graphs (Platonic solids), lattices, and symmetric Riemannian manifolds. All such objects have a natural Laplacian Delta , a linear operator on functions over X , invariant under the group action. There are many problems associated with Laplacians on X , such as continuous or discrete-time evolutions, on X , random walks, diffusion processes, and wave-propagation. This book contains sufficient material for a 1 or 2-semester course.

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