Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane


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In particular … many of the results to be described have interesting applications for statistical physics and number theory. I made corrections and added some updates on new developments on harmonic analysis on symmetric spaces, keeping myself to those developments that fit in with the spirit of the original.

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Thus, in the book under review we encounter an updated version of an established work of scholarship that has both stood the test of time, and remains very relevant and well-worth reading. The intended audience is very broad, and includes scientists outside of pure mathematics and even cousins as distant as physicists who wish to learn about the type of harmonic analysis on symmetric spaces attached to a discrete group , as well as mathematicians who wish to enter the indicated field and desire a very well-drawn road-map. Well, the book is actually much more than that: it is filled with solid mathematics, theorems are either proved in full or sketches are given replete with references to other sources.

As the title indicates, the paradigms of symmetric spaces the book is concerned with are flat space, the sphere, and the complex upper half-plane. Next, the sphere is presented as an exemplar of a compact symmetric space, and here highlights include more QM the hydrogen atom , some group representation theory, and then material on the Radon transform including stuff on CAT scanners.

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Audrey Terras is a number theorist, it cannot be otherwise. As I already said, this is truly vintage Audrey Terras, and it all makes for a pleasurable and enlightening reading experience as well as a tantalizing one.

Hyperbolic Geometry within the dynamics of space and time

Mathematics Analysis. Free Preview. New edition extensively revised and updated Features many new examples and figures such as density plots of modular forms as well as finite analogues New topics include: wavelets, quasicrystals, Ramanujan graphs, elliptic curves, modular knots, triangle and quaternion groups, comparisons of the continuous theory with its finite analogues, and recent progress on Mark Kac's question "Can you hear the shape of a drum?

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Harmonic Analysis on Symmetric Spaces-Eu

Rent the eBook. FAQ Policy. Many corrections and updates have been incorporated in this new edition.


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Updates include discussions of random matrix theory and quantum chaos, as well as recent research on modular forms and their corresponding L-functions in higher rank. Many applications have been added, such as the solution of the heat equation on Pn, the central limit theorem of Donald St.

Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane

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