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

By:

Taibleson, M. H

Material type: Text

TextSeries: Mathematical notes (Princeton University Press)Publication details: Princeton : Princeton University Press, 2015.Description: 1 online resource (308 pages)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781400871339
1400871336
0691081654
9780691081656

Subject(s):

Genre/Form:

Additional physical formats: Print version:: Fourier Analysis on Local Fields. (MN-15).DDC classification:

512.3 512/.3

LOC classification:

QA403.5 .T35 2015eb
QA247 .T28 2015

Online resources:

Click here to access online

Contents:

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

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 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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Print version record.

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.

In English.

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