Lectures on Harmonic Analysis (University lecture series, vol.29) - Softcover

Thomas Wolff

9780821834497: Lectures on Harmonic Analysis (University lecture series, vol.29)

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ISBN 10: 0821834495 ISBN 13: 9780821834497

Verlag: American Mathematical Society, 2003

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This text is based on a graduate course in Fourier analysis taught at the California Institute of Technology in the Spring of 2000. After covering standard background material involving the Fourier transform, convolution, the inversion theorem, and the Hausdorff-Young inequality in the first four chapters, the text describes the uncertainty principle and the stationary phase method. The text then turns its attention to current research topics, including distance sets, Fourier transforms of singular measures, and work connected with the Kakeya problem. Annotation (c) Book News, Inc., Portland, OR (booknews.com)

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Verlag: American Mathematical Society
Erscheinungsdatum: 2003
Sprache: Englisch
ISBN 10: 0821834495
ISBN 13: 9780821834497
Einband: Taschenbuch
Anzahl der Seiten: 135
Herausgeber: Izabella Laba, Carol Shubin
Kontakt zum Hersteller: Nicht verf�gbar
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Lectures on Harmonic Analysis (eng)

Carol Shubin

Verlag: American Mathematical Society, 2003

ISBN 10: 0821834495 ISBN 13: 9780821834497

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Lectures on Harmonic Analysis

Thomas H. Wolff, Izabella Aba, Carol Shubin

Verlag: American Mathematical Society, US, 2003

ISBN 10: 0821834495 ISBN 13: 9780821834497

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Paperback. Zustand: New. 'There were lots of young analysts who flocked to Chicago in those years, but virtually from the start it was clear that Tom had a special brilliance.Eventually, the mathematical door would open a crack as Tom discovered a new technique, usually of astonishing originality. The end would now be in sight, as [he] unleashed his tremendous technical abilities.Time after time, [Wolff] would pick a central problem in an area and solve it. After a few more results, the field would be changed forever.In the mathematical community, the common and rapid response to these breakthroughs was that they were seen, not just as watershed events, but as lightning strikes that permanently altered the landscape' - Peter W. Jones, Yale University.'Tom Wolff was not only a deep thinker in mathematics but also a technical master' - Barry Simon, California Institute of Technology. Thomas H. Wolff was a leading analyst and winner of the Salem and Bocher Prizes. He made significant contributions to several areas of harmonic analysis, in particular to geometrical and measure-theoretic questions related to the Kakeya needle problem. Wolff attacked the problem with awesome power and originality, using both geometric and combinatorial ideas.This book provides an inside look at the techniques used and developed by Wolff. It is based on a graduate course on Fourier analysis he taught at Caltech. The selection of the material is somewhat unconventional in that it leads the reader, in Wolff's unique and straightforward way, through the basics directly to current research topics. The book demonstrates how harmonic analysis can provide penetrating insights into deep aspects of modern analysis. It is an introduction to the subject as a whole and an overview of those branches of harmonic analysis that are relevant to the Kakeya conjecture. The first few chapters cover the usual background material: the Fourier transform, convolution, the inversion theorem, the uncertainty principle, and the method of stationary phase.However, the choice of topics is highly selective, with emphasis on those frequently used in research inspired by the problems discussed in later chapters. These include questions related to the restriction conjecture and the Kakeya conjecture, distance sets, and Fourier transforms of singular measures. These problems are diverse, but often interconnected; they all combine sophisticated Fourier analysis with intriguing links to other areas of mathematics, and they continue to stimulate first-rate work. The book focuses on laying out a solid foundation for further reading and research. Technicalities are kept to a minimum, and simpler but more basic methods are often favored over the most recent methods. The clear style of the exposition and the quick progression from fundamentals to advanced topics ensure that both graduate students and research mathematicians will benefit from the book. Bestandsnummer des Verk�ufers LU-9780821834497

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Lectures on harmonic analysis. University lecture series; Bd. Volume 29.

Thomas H. Wolff

Verlag: Providence, American Mathematical Society, 2003

ISBN 10: 0821834495 ISBN 13: 9780821834497

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Softcover. Zustand: Gut. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03002 9780821834497 Sprache: Englisch Gewicht in Gramm: 550. Bestandsnummer des Verk�ufers 2488896

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Lectures on Harmonic Analysis (University Lecture Series)

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Verlag: American Mathematical Society, 2003

ISBN 10: 0821834495 ISBN 13: 9780821834497

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Zustand: New. Demonstrates how harmonic analysis can provide penetrating insights into deep aspects of modern analysis. This book presents an introduction to the subject as a whole and an overview of those branches of harmonic analysis that are relevant to the Kakeya conjecture. Editor(s): Laba, Izabella; Shubin, Carol. Series: University Lecture Series. Num Pages: 137 pages, illustrations. BIC Classification: PBK. Category: (G) General (US: Trade); (P) Professional & Vocational. Weight in Grams: 269. . 2003. Paperback. . . . . Bestandsnummer des Verk�ufers V9780821834497

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Lectures on Harmonic Analysis

Wolff, Thomas H.; Aba, Izabella (EDT); Shubin, Carol (EDT)

Verlag: American Mathematical Society, 2003

ISBN 10: 0821834495 ISBN 13: 9780821834497

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Lectures on Harmonic Analysis (Paperback)

American Mathematical Society

Verlag: American Mathematical Society, Providence, 2003

ISBN 10: 0821834495 ISBN 13: 9780821834497

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Paperback. Zustand: new. Paperback. "There were lots of young analysts who flocked to Chicago in those years, but virtually from the start it was clear that Tom had a special brilliance .Eventually, the mathematical door would open a crack as Tom discovered a new technique, usually of astonishing originality. The end would now be in sight, as [he] unleashed his tremendous technical abilities .Time after time, [Wolff] would pick a central problem in an area and solve it. After a few more results, the field would be changed forever .In the mathematical community, the common and rapid response to these breakthroughs was that they were seen, not just as watershed events, but as lightning strikes that permanently altered the landscape." -Peter W. Jones, Yale University "Tom Wolff was not only a deep thinker in mathematics but also a technical master." -Barry Simon, California Institute of Technology Thomas H. Wolff was a leading analyst and winner of the Salem and Bocher Prizes. He made significant contributions to several areas of harmonic analysis, in particular to geometrical and measure-theoretic questions related to the Kakeya needle problem.Wolff attacked the problem with awesome power and originality, using both geometric and combinatorial ideas. This book provides an inside look at the techniques used and developed by Wolff. It is based on a graduate course on Fourier analysis he taught at Caltech. The selection of the material is somewhat unconventional in that it leads the reader, in Wolff's unique and straightforward way, through the basics directly to current research topics. The book demonstrates how harmonic analysis can provide penetrating insights into deep aspects of modern analysis. It is an introduction to the subject as a whole and an overview of those branches of harmonic analysis that are relevant to the Kakeya conjecture. The first few chapters cover the usual background material: the Fourier transform, convolution, the inversion theorem, the uncertainty principle, and the method of stationary phase. However, the choice of topics is highly selective, with emphasis on those frequently used in research inspired by the problems discussed in later chapters. These include questions related to the restriction conjecture and the Kakeya conjecture, distance sets, and Fourier transforms of singular measures.These problems are diverse, but often interconnected; they all combine sophisticated Fourier analysis with intriguing links to other areas of mathematics, and they continue to stimulate first-rate work. The book focuses on laying out a solid foundation for further reading and research. Technicalities are kept to a minimum, and simpler but more basic methods are often favored over the most recent methods. The clear style of the exposition and the quick progression from fundamentals to advanced topics ensure that both graduate students and research mathematicians will benefit from the book. Demonstrates how harmonic analysis can provide penetrating insights into deep aspects of modern analysis. This book presents an introduction to the subject as a whole and an overview of those branches of harmonic analysis that are relevant to the Kakeya conjecture. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verk�ufers 9780821834497

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