Fourier Analysis on Local Fields

Taibleson, M. H.

ISBN 10: 0691645167 / ISBN 13: 9780691645162

Verlag: Princeton University Press, 2017

Series: Mathematical Notes. Num Pages: 308 pages, black & white illustrations. BIC Classification: PBK. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 235 x 155 x 19. Weight in Grams: 599. . 2017. Hardback. . . . . Bestandsnummer des Verkäufers V9780691645162

Inhaltsangabe:

This book presents a development of the basic facts about harmonic analysis on local fields and the n-dimensional vector spaces over these fields. It focuses almost exclusively on the analogy between the local field and Euclidean cases, with respect to the form of statements, the manner of proof, and the variety of applications.

The force of the analogy between the local field and Euclidean cases rests in the relationship of the field structures that underlie the respective cases. A complete classification of locally compact, non-discrete fields gives us two examples of connected fields (real and complex numbers); the rest are local fields (p-adic numbers, p-series fields, and their algebraic extensions). The local fields are studied in an effort to extend knowledge of the reals and complexes as locally compact fields.

The author’s central aim has been to present the basic facts of Fourier analysis on local fields in an accessible form and in the same spirit as in Zygmund’s Trigonometric Series (Cambridge, 1968) and in Introduction to Fourier Analysis on Euclidean Spaces by Stein and Weiss (1971).

Originally published in 1975.

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Über die Autorin bzw. den Autor: Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

Bibliografische Details

Titel: Fourier Analysis on Local Fields
Verlag: Princeton University Press
Erscheinungsdatum: 2017
Einband: Softcover
Zustand: New