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Lectures on Harmonic Analysis
About this Title
Thomas H. Wolff. Edited by Izabella Łaba, University of British Columbia, Vancouver, BC, Canada and Carol Shubin, California State University Northridge, Northridge, CA
Publication: University Lecture Series
Publication Year:
2003; Volume 29
ISBNs: 978-0-8218-3449-7 (print); 978-1-4704-1837-3 (online)
DOI: https://doi.org/10.1090/ulect/029
MathSciNet review: MR2003254
MSC: Primary 42-02; Secondary 42B15
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. The $L^1$ Fourier transform
- Chapter 2. The Schwartz space
- Chapter 3. Fourier inversion and the Plancherel theorem
- Chapter 4. Some specifics, and $L^p$ for $p<2$
- Chapter 5. The uncertainty principle
- Chapter 6. The stationary phase method
- Chapter 7. The restriction problem
- Chapter 8. Hausdorff measures
- Chapter 9. Sets with maximal Fourier dimension and distance sets
- Chapter 10. The Kakeya problem
- Chapter 11. Recent work connected with the Kakeya problem
- Historical notes