Fourier Analysis and Hausdorff Dimension (Hardcover)
 
作者: Pertti Mattila 
分類: Functional analysis & transforms  
書城編號: 1095780


售價: $938.00

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出版社: Cambridge University Press
出版日期: 2015/07/01
尺寸: 228x152x43mm
重量: 946 grams
ISBN: 9781107107359

商品簡介
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.
Pertti Mattila 作者作品表

eBook: Rectifiability: A Survey (DRM PDF)

Fourier Analysis and Hausdorff Dimension (Hardcover)

Geometry of Sets and Measures in Euclidean Spaces (Paperback)

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