Fourier analysis on local fields (MN-15) /
Taibleson, M. H.
Fourier analysis on local fields (MN-15) / M.H. Taibleson. - Princeton : Princeton University Press, 2015. - 1 online resource (308 pages) - Mathematical notes . - Mathematical notes (Princeton University Press) .
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.
9781400871339 (electronic bk.) 1400871336 (electronic bk.) 0691081654 9780691081656
10.1515/9781400871339 doi
22573/ctt12w9cq0 JSTOR
Fourier analysis.
Local fields (Algebra)
Analyse de Fourier.
Corps locaux (Algèbre)
MATHEMATICS--Mathematical Analysis.
MATHEMATICS--Algebra--Intermediate.
Fourier analysis.
Local fields (Algebra)
Electronic books.
Electronic books.
QA403.5 / .T35 2015eb QA247 .T28 2015
512.3 512/.3
Fourier analysis on local fields (MN-15) / M.H. Taibleson. - Princeton : Princeton University Press, 2015. - 1 online resource (308 pages) - Mathematical notes . - Mathematical notes (Princeton University Press) .
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.
9781400871339 (electronic bk.) 1400871336 (electronic bk.) 0691081654 9780691081656
10.1515/9781400871339 doi
22573/ctt12w9cq0 JSTOR
Fourier analysis.
Local fields (Algebra)
Analyse de Fourier.
Corps locaux (Algèbre)
MATHEMATICS--Mathematical Analysis.
MATHEMATICS--Algebra--Intermediate.
Fourier analysis.
Local fields (Algebra)
Electronic books.
Electronic books.
QA403.5 / .T35 2015eb QA247 .T28 2015
512.3 512/.3