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A Course in Abstract Harmonic Analysis (Textbooks in Mathematics) - Tapa dura

Folland, Gerald B.

 
9780849384905: A Course in Abstract Harmonic Analysis (Textbooks in Mathematics)
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ISBN 10: 0849384907 ISBN 13: 9780849384905
Editorial: CRC Press, 1994

Sinopsis

Abstract theory remains an indispensable foundation for the study of concrete cases. It shows what the general picture should look like and provides results that are useful again and again. Despite this, however, there are few, if any introductory texts that present a unified picture of the general abstract theory. A Course in Abstract Harmonic Analysis offers a concise, readable introduction to Fourier analysis on groups and unitary representation theory. After a brief review of the relevant parts of Banach algebra theory and spectral theory, the book proceeds to the basic facts about locally compact groups, Haar measure, and unitary representations, including the Gelfand-Raikov existence theorem. The author devotes two chapters to analysis on Abelian groups and compact groups, then explores induced representations, featuring the imprimitivity theorem and its applications. The book concludes with an informal discussion of some further aspects of the representation theory of non-compact, non-Abelian groups.

"Sinopsis" puede pertenecer a otra edición de este libro.

Críticas

"This delightful book fills a long-standing gap in the literature on abstract harmonic analysisTo the reviewer's knowledge, no one existing book contains al of the topics that are treated in this one[The author's] respect for the subject shows on every handthrough his careful writing style, which is concise, yet simple and elegant. The reviewer would encourage anyone with an interest in harmonic analysis to have this book in his or her personal library. ..a fine book that the reviewer would have been proud to write." -Robert S. Doran in Mathematical Reviews, Issue 98c

Reseña del editor

Abstract theory remains an indispensable foundation for the study of concrete cases. It shows what the general picture should look like and provides results that are useful again and again. Despite this, however, there are few, if any introductory texts that present a unified picture of the general abstract theory.

A Course in Abstract Harmonic Analysis offers a concise, readable introduction to Fourier analysis on groups and unitary representation theory. After a brief review of the relevant parts of Banach algebra theory and spectral theory, the book proceeds to the basic facts about locally compact groups, Haar measure, and unitary representations, including the Gelfand-Raikov existence theorem. The author devotes two chapters to analysis on Abelian groups and compact groups, then explores induced representations, featuring the imprimitivity theorem and its applications. The book concludes with an informal discussion of some further aspects of the representation theory of non-compact, non-Abelian groups.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
CRC Press
Año de publicación
1994
Idioma
Inglés
ISBN 10 
0849384907
ISBN 13 
9780849384905
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
288
Contacto del fabricante
no disponible
Persona responsable
Buchpark GmbH
gpsr@buchpark.de

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Brandenburg
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