| Description |
1 online resource (xii, 192 pages) : illustrations |
| Series |
Universitext |
|
Universitext.
|
| 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 |
| Summary |
"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."--Jacket |
| Bibliography |
Includes bibliographical references (pages 187-189) and index |
| In |
Springer e-books |
| Subject |
Harmonic analysis.
|
|
Fourier Analysis
|
|
Análisis armónico
|
|
Análisis de Fourier
|
|
Harmonic analysis
|
| Form |
Electronic book
|
| ISBN |
0387228373 |
|
9780387228372 |
|
9780387275611 |
|
0387275614 |
|
9786611334406 |
|
6611334408 |
|
