ISBN: 9780821834497
ID: 6416388
'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 '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. Books, Science and Geography~~Mathematics~~Calculus & Mathematical Analysis, Lectures On Harmonic Analysis~~Book~~9780821834497~~Thomas H. Wolff, , , , , , , , , ,, [PU: American Mathematical Society]
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Thomas H. Wolff; Editor-Izabella Aba; Editor-Carol Shubin:
Lectures on Harmonic Analysis (University Lecture Series) - Paperback2003, ISBN: 9780821834497
ID: 329716196
American Mathematical Society, 2003-10-01. Paperback. New. Brand new. We distribute directly for the publisher. Thomas H. Wolff was a leading analyst and winner of the Salem and Bôcher 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., American Mathematical Society, 2003-10-01
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ISBN: 0821834495
[SR: 2448790], Paperback, [EAN: 9780821834497], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], American Mathematical Society, 278337, Calculus & Mathematical Analysis, 278339, Complex Analysis, 278340, Differential Equations, 278342, Functional Analysis, 278346, Real Analysis, 278347, Vector & Tensor Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278373, Numbers, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570912, Calculus & Mathematical Analysis, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books
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ISBN: 9780821834497
Paperback, [PU: American Mathematical Society], 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., Calculus & Mathematical Analysis
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Title: | Lectures on Harmonic Analysis (University Lecture Series) |
ISBN: | 0821834495 |
Details of the book - Lectures on Harmonic Analysis (University Lecture Series)
EAN (ISBN-13): 9780821834497
ISBN (ISBN-10): 0821834495
Paperback
Publishing year: 2003
Publisher: American Mathematical Society, United States
Book in our database since 14.06.2007 14:16:01
Book found last time on 03.01.2016 12:28:23
ISBN/EAN: 0821834495
ISBN - alternate spelling:
0-8218-3449-5, 978-0-8218-3449-7
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