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: 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: 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: 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: 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:
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages :
Get Book Here
Book Description
Author: Nolan R. Wallach
Publisher:
ISBN: 9780127329604
Category : Mathematics
Languages : en
Pages : 412
Get Book Here
Book Description
Author: Alexandre Kirillov
Publisher: Springer
ISBN: 9783662030035
Category : Mathematics
Languages : en
Pages : 236
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: Pierre-Loic Meliot
Publisher: CRC Press
ISBN: 1315353857
Category : Mathematics
Languages : en
Pages : 567
Get Book Here
Book Description
Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint. This book is an excellent way of introducing today’s students to representation theory of the symmetric groups, namely classical theory. From there, the book explains how the theory can be extended to other related combinatorial algebras like the Iwahori-Hecke algebra. In a clear and concise manner, the author presents the case that most calculations on symmetric group can be performed by utilizing appropriate algebras of functions. Thus, the book explains how some Hopf algebras (symmetric functions and generalizations) can be used to encode most of the combinatorial properties of the representations of symmetric groups. Overall, the book is an innovative introduction to representation theory of symmetric groups for graduate students and researchers seeking new ways of thought.
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.
