Author: A.A. Kirillov
Publisher: Springer Science & Business Media
ISBN: 3662097567
Category : Mathematics
Languages : en
Pages : 274
Get Book Here
Book Description
Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.
Author: A.A. Kirillov
Publisher: Springer Science & Business Media
ISBN: 3662030020
Category : Mathematics
Languages : en
Pages : 241
Get Book Here
Book Description
This two-part survey provides a short review of the classical part of representation theory, carefully exposing the structure of the theory without overwhelming readers with details, and deals with representations of Virasoro and Kac-Moody algebra. It presents a wealth of recent results on representations of infinite-dimensional groups.
Author: Tullio Ceccherini-Silberstein
Publisher: Cambridge University Press
ISBN: 1107182336
Category : Mathematics
Languages : en
Pages : 589
Get Book Here
Book Description
A self-contained introduction to discrete harmonic analysis with an emphasis on the Discrete and Fast Fourier Transforms.
Author: Gregory S. Chirikjian
Publisher: CRC Press
ISBN: 1420041762
Category : Computers
Languages : en
Pages : 698
Get Book Here
Book Description
The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is sti
Author: Viktor Petrovich Khavin
Publisher: Springer Science & Business Media
ISBN: 9783540519980
Category : Mathematics
Languages : en
Pages : 340
Get Book Here
Book Description
Classical harmonic analysis is an important part of modern physics and mathematics, comparable in its significance with calculus. Created in the 18th and 19th centuries as a distinct mathematical discipline it continued to develop, conquering new unexpected areas and producing impressive applications to a multitude of problems. It is widely understood that the explanation of this miraculous power stems from group theoretic ideas underlying practically everything in harmonic analysis. This book is an unusual combination of the general and abstract group theoretic approach with a wealth of very concrete topics attractive to everybody interested in mathematics. Mathematical literature on harmonic analysis abounds in books of more or less abstract or concrete kind, but the lucky combination as in this volume can hardly be found.
Author: Nolan R. Wallach
Publisher:
ISBN: 9780127329604
Category : Mathematics
Languages : en
Pages : 412
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages :
Get Book Here
Book Description
Author: Anton Deitmar
Publisher: Springer Science & Business Media
ISBN: 147573834X
Category : Mathematics
Languages : en
Pages : 154
Get Book Here
Book Description
This book introduces harmonic analysis at an undergraduate level. In doing so it covers Fourier analysis and paves the way for Poisson Summation Formula. Another central feature is that is makes the reader aware of the fact that both principal incarnations of Fourier theory, the Fourier series and the Fourier transform, are special cases of a more general theory arising in the context of locally compact abelian groups. The final goal of this book is to introduce the reader to the techniques used in harmonic analysis of noncommutative groups. These techniques are explained in the context of matrix groups as a principal example.
Author: M. Sugiura
Publisher: Elsevier
ISBN: 0080887597
Category : Mathematics
Languages : en
Pages : 469
Get Book Here
Book Description
The principal aim of this book is to give an introduction to harmonic analysis and the theory of unitary representations of Lie groups. The second edition has been brought up to date with a number of textual changes in each of the five chapters, a new appendix on Fatou's theorem has been added in connection with the limits of discrete series, and the bibliography has been tripled in length.
Author: Michael Eugene Taylor
Publisher: American Mathematical Soc.
ISBN: 0821823140
Category : Differential equations, Hypoelliptic
Languages : en
Pages : 188
Get Book Here
Book Description
