Fourier Analysis and Hausdorff Dimension

Name: Fourier Analysis and Hausdorff Dimension
Brand: Cambridge University Press
SKU: 9781107107359
Price: 514.46 RON
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Autor: Pertti Mattila

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Editura: Cambridge University Press

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During the past two decades there has been active interplay between geometric measure theory and Fou...

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Autor

Pertti Mattila

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2015

Pagini

452

EAN

9781107107359

ISBN

1107107350

Enbook ID

09201019

Editura

Cambridge University Press

Greutate

734

Dimensiuni

160 x 237 x 30

Descriere completă

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.

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Fourier Analysis and Hausdorff Dimension

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