Harmonic analysis on symmetric spaces Euclidean space, the sphere, and the Poincaré upper half plane

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Harmonic analysis on symmetric spaces Euclidean space, the sphere, and the Poincaré upper half plane

Terras, Audrey - Nama Orang;

This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincaré 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 and updates have been incorporated in this new edition. Updates include discussions of P. Sarnak and others' work on quantum chaos, the work of T. Sunada, Marie-France Vignéras, Carolyn Gordon, and others on Mark Kac's question "Can you hear the shape of a drum?", A. Lubotzky, R. Phillips and P. Sarnak's examples of Ramanujan graphs, 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 Poincaré upper half plane H or unit disc and applications to microwave engineering, fundamental domains in H for discrete groups Γ, tessellations of H from such discrete group actions, automorphic forms, and the Selberg trace formula and its applications in spectral theory as well as number theory.

Ketersediaan

Perpustakaan Pusat E620

E620

Tersedia

Informasi Detail

Judul Seri: -
No. Panggil: E620
Penerbit: New York : Springer., 2013
Deskripsi Fisik: xvii, 413 hlm.
Bahasa: English
ISBN/ISSN: 9781461479727
Klasifikasi: NONE
Tipe Isi: text
Tipe Media: computer
Tipe Pembawa: online resource
Edisi: 2
Subjek: Analisis Harmonik
Info Detail Spesifik: -
Pernyataan Tanggungjawab: Audrey Terras

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Lampiran Berkas

Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
https://doi.org/10.1007/978-1-4614-7972-7

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