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Fourier analysis on local fields

Author: M H Taibleson
Publisher: Princeton, New Jersey : Princeton University Press, 1975. ©1975
Series: Mathematical notes (Princeton University Press), 15.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Taibleson, M.H., 1929-
Fourier analysis on local fields.
Princeton, New Jersey : Princeton University Press, ©1975
xii, 294 pages
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: M H Taibleson
ISBN: 9781400871339 1400871336
OCLC Number: 905862280
Description: 1 online resource (xii, 394 pages).
Contents: Preface; Introduction; Table of Contents; VII. Conjugate Systems of Regular Functions and an F. and M. Riesz Theorem.
Series Title: Mathematical notes (Princeton University Press), 15.
Responsibility: by M.H. Taibleson.

Abstract:

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.

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