Fourier analysis on local fields (MN-15)M.H. Taibleson.

By:

Taibleson, M. H [Author]

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781400871339

Subject(s):

Genre/Form:

Electronic Books.

LOC classification:

QA403 .F687 2015
QA247

Online resources:

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Available additional physical forms:

Contents:

Subject: 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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Holdings
Item type	Current library	Collection	Call number	URL	Status	Date due	Barcode
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD)	G. Allen Fleece Library ONLINE	Non-fiction	QA403.5 (Browse shelf(Opens below))	Link to resource	Available		ocn903442327

Includes bibliographies and index.

Preface; Introduction; Table of Contents; VII. Conjugate Systems of Regular Functions and an F. and M. Riesz Theorem.

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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