Harmonic analysis, second edition [electronic resource] / Henry Helson.
Helson, Henry| Call Number | 515.2433 |
| Author | Helson, Henry. |
| Title | Harmonic analysis, second edition Henry Helson. |
| Edition | 2nd ed. |
| Physical Description | 1 online resource (242 pages) |
| Series | Texts and Readings in Mathematics ; 7 |
| Contents | Harmonic analysis, second edition -- Contents -- Preface to the Second Edition -- Chapter 1 : Fourier Series and Integrals -- Chapter 2 : The Fourier Integral -- Chapter 3 : Discrete and Compact Groups -- Chapter 4 : Hardy Spaces -- Chapter 5 : Conjugate Functions -- Chapter 6 : Translation -- Chapter 7 : Distribution -- Appendix : Integration by Parts -- Bibliographic Notes -- Index -- Back Cover. |
| Summary | This second edition has been enlarged and considerably rewritten. Among the new topics are infinite product spaces with applications to probability, disintegration of measures on product spaces, positive definite functions on the line, and additional information about Weyl's theorems on equidistribution. Topics that have continued from the first edition include Minkowski's theorem, measures with bounded powers, idempotent measures, spectral sets of bounded functions and a theorem of Szegö, and the Wiener Tauberian theorem. Readers of the book should have studied the Lebesgue integral, the elementary theory of analytic and harmonic functions, and the basic theory of Banach spaces. The treatment is classical and as simple as possible. This is an instructional book, not a treatise. Mathematics students interested in analysis will find here what they need to know about Fourier analysis. Physicists and others can use the book as a reference for more advanced topics. |
| Subject | MATHEMATICS / Infinity. TECHNOLOGY & ENGINEERING / General. Electronic books. |
| Multimedia |
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$a Harmonic analysis, second edition -- Contents -- Preface to the Second Edition -- Chapter 1 : Fourier Series and Integrals -- Chapter 2 : The Fourier Integral -- Chapter 3 : Discrete and Compact Groups -- Chapter 4 : Hardy Spaces -- Chapter 5 : Conjugate Functions -- Chapter 6 : Translation -- Chapter 7 : Distribution -- Appendix : Integration by Parts -- Bibliographic Notes -- Index -- Back Cover.
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$a This second edition has been enlarged and considerably rewritten. Among the new topics are infinite product spaces with applications to probability, disintegration of measures on product spaces, positive definite functions on the line, and additional information about Weyl's theorems on equidistribution. Topics that have continued from the first edition include Minkowski's theorem, measures with bounded powers, idempotent measures, spectral sets of bounded functions and a theorem of Szegö, and the Wiener Tauberian theorem. Readers of the book should have studied the Lebesgue integral, the elementary theory of analytic and harmonic functions, and the basic theory of Banach spaces. The treatment is classical and as simple as possible. This is an instructional book, not a treatise. Mathematics students interested in analysis will find here what they need to know about Fourier analysis. Physicists and others can use the book as a reference for more advanced topics.
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| Summary | This second edition has been enlarged and considerably rewritten. Among the new topics are infinite product spaces with applications to probability, disintegration of measures on product spaces, positive definite functions on the line, and additional information about Weyl's theorems on equidistribution. Topics that have continued from the first edition include Minkowski's theorem, measures with bounded powers, idempotent measures, spectral sets of bounded functions and a theorem of Szegö, and the Wiener Tauberian theorem. Readers of the book should have studied the Lebesgue integral, the elementary theory of analytic and harmonic functions, and the basic theory of Banach spaces. The treatment is classical and as simple as possible. This is an instructional book, not a treatise. Mathematics students interested in analysis will find here what they need to know about Fourier analysis. Physicists and others can use the book as a reference for more advanced topics. |
| Contents | Harmonic analysis, second edition -- Contents -- Preface to the Second Edition -- Chapter 1 : Fourier Series and Integrals -- Chapter 2 : The Fourier Integral -- Chapter 3 : Discrete and Compact Groups -- Chapter 4 : Hardy Spaces -- Chapter 5 : Conjugate Functions -- Chapter 6 : Translation -- Chapter 7 : Distribution -- Appendix : Integration by Parts -- Bibliographic Notes -- Index -- Back Cover. |
| Subject | MATHEMATICS / Infinity. TECHNOLOGY & ENGINEERING / General. Electronic books. |
| Multimedia |