Fourier Analysis and Hausdorff Dimension/ [by] Pretti Mattila
Series: Cambridge studies in advanced mathematics ; 150Publication details: Cambridge: Cambridge University Press, c2015Description: xiii, 440 p. ; 24 cmISBN:- 9781107107359 (hbk.):
- 23rd 515.2433 MAT/F
Item type | Current library | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|
Reference Book | Transit Campus Mathematics | 515.2433 MAT/F (Browse shelf(Opens below)) | Available | 003529 | |
Books | Vigyanpuri Campus Mathematics | 515.2433 MAT/F (Browse shelf(Opens below)) | Available | 003528 |
Browsing Transit Campus shelves, Shelving location: Mathematics Close shelf browser (Hides shelf browser)
515.0246 MCQ/M Mathematical methods for scientists and engineers/ | 515.076 POL/P Problems and theorems in analysis I / | 515.076 POL/P Problems and theorems in analysis II / | 515.2433 MAT/F Fourier Analysis and Hausdorff Dimension/ | 515.2433 RAM/F Fourier analysis on number fields / | 515.2433 REED/F Fourier Analysis, Self Adjointness/ | 515.2433 SIM/H Harmonic analysis / |
Includes bibliogrpahical references andb index.
"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 area. The author emphasises partial results of important open problems, for example, Falconer's distance set conjecture, the Kakeya conjecture and the Fourier restriction conjecture. Essentially self-contained, this book is suitable for graduate students and researchers in mathematics."--Back cover.
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