9781461479727
IR
EN-52412
انگلیسی
IR
Harmonic Analysis on Symmetric Spaces-Euclidean Space, the Sphere, and the Poincar?ش Upper Half-Plan
[Book]
:[delta
/ by Audrey Terras
fa
2nd ed. 2013.
New York, NY
: Springer New York :Imprint: Springer,
, 2013.
XVII, 413 p. 83 illus., 32 illus. in color., online resource.
Electronic
This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincar?ش upper half plane. This book is intended for beginning graduate students in mathematics or researchers in physics or engineering. Written with an informal style, the book places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering. Many corrections, new topics, and updates have been incorporated in this new edition. These include discussions of the work of P. Sarnak and others making progress on various conjectures on modular forms, the work of T. Sunada, Marie-France Vign?شras, Carolyn Gordon, and others on Mark Kac's question "Can you hear the shape of a drum?", Ramanujan graphs, wavelets, quasicrystals, modular knots, triangle and quaternion groups, computations of Maass waveforms, and, finally, the author's comparisons of continuous theory with the finite analogues. Topics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, Poisson's summation formula and applications in crystallography and number theory, applications of spherical harmonic analysis to the hydrogen atom, the Radon transform, non-Euclidean geometry on the Poincar?ش upper half plane H or unit disc and applications to microwave engineering, fundamental domains in H for discrete groups [Gamma], tessellations of H from such discrete group actions, automorphic forms, the Selberg trace formula and its applications in spectral theory as well as number theory.
Chapter1 Flat Space. Fourier Analysis on R
Mathematics
Group theory
Topological Groups
Harmonic analysis
Fourier analysis
Functions of complex variables
Functions, special
Electronic books
E-BOOK
Terras, Audrey.
SpringerLink (Online service)
ایران
9781461479710.pdf
عادی
عادی
9781461479710.pdf
متن
old catalog
e
BL
1
a
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