A Course in Abstract Harmonic Analysis (Studies in Advanced Mathematics) - Hardcover

Folland, Gerald B.

Hardcover

ISBN 10: 0849384907 ISBN 13: 9780849384905

Verlag: CRC Press Inc, 1994

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: CRC Press Inc
• Erscheinungsdatum: 1994
• Sprache: Englisch
• ISBN 10: 0849384907
• ISBN 13: 9780849384905
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 288
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar