Fourier Analysis and Hausdorff Dimension (Cambridge Studies in Advanced Mathematics) - Image 1

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Cambridge University Press Fourier Analysis and Hausdorff Dimension (Cambridge Studies in Advanced Mathematics)

Name: Fourier Analysis and Hausdorff Dimension (Cambridge Studies in Advanced Mathematics)
Brand: Cambridge University Press
Price: 65.16 GBP
Availability: InStock

Higher Education

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Description

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.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 1107107350
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Education > Higher Education
Domain: Amazon UK
Release Date: 23 July 2015
Listed Since: 24 January 2015

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Cambridge University Press Fourier Analysis and Hausdorff Dimension (Cambridge Studies in Advanced Mathematics)

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