Introduction to Fourier Analysis and Wavelets - Hardcover
Book 81 of 190: Graduate Studies in Mathematics
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Mark A. Pinsky
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Introduction to Fourier Analysis and Wavelets (Graduate Studies in Mathematics)
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American Mathematical Society, 2009
ISBN 10: 082184797X
ISBN 13: 9780821847978
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Introduction to Fourier Analysis and Wavelets
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American Mathematical Society, 2009
ISBN 10: 082184797X
ISBN 13: 9780821847978
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Introduction to Fourier Analysis and Wavelets (Graduate Studies in Mathematics, Band 102)
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American Mathematical Society, 2009
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Condition: Sehr gut. XVIII, 376 Seiten, Graduate Studies in Mathematics, Band 102. Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 618 gebundene Ausgabe gebundene Ausgabe. Seller Inventory # 492398
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Introduction to Fourier Analysis and Wavelets
Published by
American Mathematical Society, 2009
ISBN 10: 082184797X
ISBN 13: 9780821847978
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Introduction to Fourier Analysis and Wavelets (Hardcover)
Published by
American Mathematical Society, Providence, 2009
ISBN 10: 082184797X
ISBN 13: 9780821847978
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Hardcover. Condition: new. Hardcover. This book provides a concrete introduction to a number of topics in harmonic analysis, accessible at the early graduate level or, in some cases, at an upper undergraduate level. Necessary prerequisites to using the text are rudiments of the Lebesgue measure and integration on the real line. It begins with a thorough treatment of Fourier series on the circle and their applications to approximation theory, probability, and plane geometry (the isoperimetric theorem). Frequently, more than one proof is offered for a given theorem to illustrate the multiplicity of approaches. The second chapter treats the Fourier transform on Euclidean spaces, especially the author's results in the three-dimensional piecewise smooth case, which is distinct from the classical Gibbs - Wilbraham phenomenon of one-dimensional Fourier analysis. The Poisson summation formula treated in Chapter 3 provides an elegant connection between Fourier series on the circle and Fourier transforms on the real line, culminating in Landau's asymptotic formulas for lattice points on a large sphere. Much of modern harmonic analysis is concerned with the behavior of various linear operators on the Lebesgue spaces Lp (Rn). Chapter 4 gives a gentle introduction to these results, using the Riesz - Thorin theorem and the Marcinkiewicz interpolation formula. One of the long-time users of Fourier analysis is probability theory. In Chapter 5 the central limit theorem, iterated log theorem, and Berry - Esseen theorems are developed using the suitable Fourier-analytic tools. The final chapter furnishes a gentle introduction to wavelet theory, depending only on the L2 theory of the Fourier transform (the Plancherel theorem). The basic notions of scale and location parameters demonstrate the flexibility of the wavelet approach to harmonic analysis. The text contains numerous examples and more than 200 exercises, each located in close proximity to the related theoretical material. Presents an introduction to various topics in harmonic analysis. This book discusses Fourier series on the circle and their applications to approximation theory, probability, and plane geometry (the isoperimetric theorem). Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780821847978
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Introduction to Fourier Analysis and Wavelets (Graduate Studies in Mathematics)
Published by
American Mathematical Society, 2009
ISBN 10: 082184797X
ISBN 13: 9780821847978
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Condition: New. Presents an introduction to various topics in harmonic analysis. This book discusses Fourier series on the circle and their applications to approximation theory, probability, and plane geometry (the isoperimetric theorem). Series: Graduate Studies in Mathematics. Num Pages: 376 pages, Illustrations. BIC Classification: PBK. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 236 x 163 x 20. . . 2009. Hardcover. . . . . Seller Inventory # V9780821847978
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Introduction to Fourier Analysis and Wavelets
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American Mathematical Society, US, 2009
ISBN 10: 082184797X
ISBN 13: 9780821847978
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Hardback. Condition: New. This book provides a concrete introduction to a number of topics in harmonic analysis, accessible at the early graduate level or, in some cases, at an upper undergraduate level. Necessary prerequisites to using the text are rudiments of the Lebesgue measure and integration on the real line. It begins with a thorough treatment of Fourier series on the circle and their applications to approximation theory, probability, and plane geometry (the isoperimetric theorem). Frequently, more than one proof is offered for a given theorem to illustrate the multiplicity of approaches. The second chapter treats the Fourier transform on Euclidean spaces, especially the author's results in the three-dimensional piecewise smooth case, which is distinct from the classical Gibbs - Wilbraham phenomenon of one-dimensional Fourier analysis. The Poisson summation formula treated in Chapter 3 provides an elegant connection between Fourier series on the circle and Fourier transforms on the real line, culminating in Landau's asymptotic formulas for lattice points on a large sphere. Much of modern harmonic analysis is concerned with the behavior of various linear operators on the Lebesgue spaces Lp (Rn). Chapter 4 gives a gentle introduction to these results, using the Riesz - Thorin theorem and the Marcinkiewicz interpolation formula. One of the long-time users of Fourier analysis is probability theory. In Chapter 5 the central limit theorem, iterated log theorem, and Berry - Esseen theorems are developed using the suitable Fourier-analytic tools. The final chapter furnishes a gentle introduction to wavelet theory, depending only on the L2 theory of the Fourier transform (the Plancherel theorem). The basic notions of scale and location parameters demonstrate the flexibility of the wavelet approach to harmonic analysis. The text contains numerous examples and more than 200 exercises, each located in close proximity to the related theoretical material. Seller Inventory # LU-9780821847978
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Introduction to Fourier Analysis and Wavelets
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Amer Mathematical Society, 2009
ISBN 10: 082184797X
ISBN 13: 9780821847978
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Hardcover. Condition: Brand New. 376 pages. 9.30x6.40x0.80 inches. In Stock. Seller Inventory # __082184797X
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Introduction to Fourier Analysis and Wavelets
Published by
American Mathematical Society, 2009
ISBN 10: 082184797X
ISBN 13: 9780821847978
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Introduction to Fourier Analysis and Wavelets
Published by
American Mathematical Society, 2009
ISBN 10: 082184797X
ISBN 13: 9780821847978
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