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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.
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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.
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A Course in Abstract Harmonic Analysis
Publicado por
CRC Press LLC, 1994
ISBN 10: 0849384907
ISBN 13: 9780849384905
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Librería: Better World Books Ltd, Dunfermline, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: Very Good. 1st Edition. Ships from the UK. Former library book; may include library markings. Used book that is in excellent condition. May show signs of wear or have minor defects. Nº de ref. del artículo: 15006776-20
Cantidad disponible: 1 disponibles
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Course in Abstract Harmonic Analysis A (Studies in Advanced Mathematics)
Librería: Phatpocket Limited, Waltham Abbey, HERTS, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Nº de ref. del artículo: Z1-K-014-02643
Cantidad disponible: 1 disponibles
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A Course in Abstract Harmonic Analysis
Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 1344210/202
Cantidad disponible: 1 disponibles
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Course in Abstract Harmonic Analysis A (Studies in Advanced Mathematics)
Publicado por
CRC Press (edition 1), 1995
ISBN 10: 0849384907
ISBN 13: 9780849384905
Antiguo o usado
Tapa dura
Librería: BooksRun, Philadelphia, PA, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Hardcover. Condición: Good. 1. It's a preowned item in good condition and includes all the pages. It may have some general signs of wear and tear, such as markings, highlighting, slight damage to the cover, minimal wear to the binding, etc., but they will not affect the overall reading experience. Nº de ref. del artículo: 0849384907-11-1
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