The Resource A First Course in Harmonic Analysis, by Anton Deitmar, (electronic resource)

A First Course in Harmonic Analysis, by Anton Deitmar, (electronic resource)

Label
A First Course in Harmonic Analysis
Title
A First Course in Harmonic Analysis
Statement of responsibility
by Anton Deitmar
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
From the reviews of the first edition: "This lovely book is intended as a primer in harmonic analysis at the undergraduate level. All the central concepts of harmonic analysis are introduced using Riemann integral and metric spaces only. The exercises at the end of each chapter are interesting and challenging..." Sanjiv Kumar Gupta for MathSciNet "... In this well-written textbook the central concepts of Harmonic Analysis are explained in an enjoyable way, while using very little technical background. Quite surprisingly this approach works. It is not an exaggeration that each undergraduate student interested in and each professor teaching Harmonic Analysis will benefit from the streamlined and direct approach of this book." Ferenc Móricz for Acta Scientiarum Mathematicarum This book is a primer in harmonic analysis using an elementary approach. Its first aim is to provide an introduction to Fourier analysis, leading up to the Poisson Summation Formula. Secondly, it makes the reader aware of the fact that both, the Fourier series and the Fourier transform, are special cases of a more general theory arising in the context of locally compact abelian groups. The third goal of this book is to introduce the reader to the techniques used in harmonic analysis of noncommutative groups. There are two new chapters in this new edition. One on distributions will complete the set of real variable methods introduced in the first part. The other on the Heisenberg Group provides an example of a group that is neither compact nor abelian, yet is simple enough to easily deduce the Plancherel Theorem. Professor Deitmar is Professor of Mathematics at the University of T"ubingen, Germany. He is a former Heisenberg fellow and has taught in the U.K. for some years. In his leisure time he enjoys hiking in the mountains and practicing Aikido
Member of
Is Subseries of
http://library.link/vocab/creatorName
Deitmar, Anton
Dewey number
515.2433
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
-kmDZLycm8Q
Language note
English
LC call number
QA319-329.9
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Functional analysis
  • Topology
  • Harmonic analysis
  • Topological Groups
  • Global analysis (Mathematics)
  • Functional Analysis
  • Topology
  • Abstract Harmonic Analysis
  • Topological Groups, Lie Groups
  • Analysis
Label
A First Course in Harmonic Analysis, by Anton Deitmar, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 187-189) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Fourier Analysis -- Fourier Series -- Hilbert Spaces -- The Fourier Transform -- Distributions -- LCA Groups -- Finite Abelian Groups -- LCA Groups -- The Dual Group -- Plancherel Theorem -- Noncommutative Groups -- Matrix Groups -- The Representations of SU(2) -- The Peter-Weyl Theorem -- The Heisenberg Group
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (188 p.)
Form of item
online
Isbn
9780387275611
Media category
computer
Media type code
  • c
Other control number
10.1007/0-387-27561-4
Specific material designation
remote
System control number
  • (CKB)1000000000227520
  • (EBL)302623
  • (OCoLC)828802369
  • (SSID)ssj0000317659
  • (PQKBManifestationID)11240615
  • (PQKBTitleCode)TC0000317659
  • (PQKBWorkID)10293900
  • (PQKB)10488863
  • (DE-He213)978-0-387-27561-1
  • (MiAaPQ)EBC302623
  • (EXLCZ)991000000000227520
Label
A First Course in Harmonic Analysis, by Anton Deitmar, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 187-189) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Fourier Analysis -- Fourier Series -- Hilbert Spaces -- The Fourier Transform -- Distributions -- LCA Groups -- Finite Abelian Groups -- LCA Groups -- The Dual Group -- Plancherel Theorem -- Noncommutative Groups -- Matrix Groups -- The Representations of SU(2) -- The Peter-Weyl Theorem -- The Heisenberg Group
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (188 p.)
Form of item
online
Isbn
9780387275611
Media category
computer
Media type code
  • c
Other control number
10.1007/0-387-27561-4
Specific material designation
remote
System control number
  • (CKB)1000000000227520
  • (EBL)302623
  • (OCoLC)828802369
  • (SSID)ssj0000317659
  • (PQKBManifestationID)11240615
  • (PQKBTitleCode)TC0000317659
  • (PQKBWorkID)10293900
  • (PQKB)10488863
  • (DE-He213)978-0-387-27561-1
  • (MiAaPQ)EBC302623
  • (EXLCZ)991000000000227520

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