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Lectures on Harmonic Analysis (Paperback, 2003)

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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.

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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.

Product Identifiers

Publisher
American Mathematical Society
ISBN-13
9780821834497
eBay Product ID (ePID)
104793418

Product Key Features

Publication Name
Lectures on Harmonic Analysis
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2003
Type
Textbook

Additional Product Features

Series Title
University Lecture Series
Country/Region of Manufacture
United States

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Picture 1 of 2

Lectures on Harmonic Analysis (Paperback, 2003)

About this product

Product Information

Product Identifiers

Product Key Features

Additional Product Features

Best Selling in Adult Learning & University

A guide to the Project Management Body of Knowledge (PMBOK guide) and the Standard for project management by Project Management Institute (Paperback, 2021)

The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

Polyvagal Exercises for Safety and Connection: 50 Client-Centered Practices by Deb Dana (Paperback, 2020)

Save on Adult Learning & University

Ford Falcon EF, EL/Fairlane NF, NL/LTD DF, DL 1994-1998 Haynes Workshop Manual

Netter Atlas of Human Anatomy: Classic Regional Approach

Michael Price Nick Vandome Windows 11 for Seniors in easy steps (Paperback)

BORN IN 1971?... 1951?BIRTHDAY...Australian Social History....Chrisi, Birthdays

Dr. Robert Melillo Disconnected Kids - Revised and Updated (Paperback)

The Demon-Haunted World: Science as a Candle in the Dark by Carl Sagan (English)

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