Fourier Analysis and Hausdorff Dimension
During the past two decades there has been active interplay between geometric measure theory and Fourier analysis. This book describes part of that development, concentrating on the relationship between the Fourier transform and Hausdorff dimension. The main topics concern applications of the Fourier transform to geometric problems involving Hausdorff dimension, such as Marstrand type projection theorems and Falconer's distance set problem, and the role of Hausdorff dimension in modern Fourier analysis, especially in Kakeya methods and Fourier restriction phenomena. The discussion includes both classical results and recent developments in the…
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Produktdetails
- ISBN: 978-1-316-34952-6
- EAN: 9781316349526
- Produktnummer: 24245002
- Verlag: Cambridge University Press
- Sprache: Englisch
- Erscheinungsjahr: 2015
- Seitenangabe: 0 S.
- Plattform: EPUB
- Masse: 97'921 KB
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