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Fourier Analysis and Hausdorff Dimension
Language: en
Pages: 455
Authors: Pertti Mattila
Categories: Mathematics
Type: BOOK - Published: 2015-07-22 - Publisher: Cambridge University Press

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Modern text examining the interplay between measure theory and Fourier analysis.
Fourier Analysis and Hausdorff Dimension
Language: en
Pages: 455
Authors: Pertti Mattila
Categories: Mathematics
Type: BOOK - Published: 2015-07-22 - Publisher: Cambridge University Press

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During the past two decades there has been active interplay between geometric measure theory and Fourier analysis. This book describes part of that development,
Fractals in Probability and Analysis
Language: en
Pages: 415
Authors: Christopher J. Bishop
Categories: Mathematics
Type: BOOK - Published: 2017 - Publisher: Cambridge University Press

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A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.
The Geometry of Fractal Sets
Language: en
Pages: 184
Authors: K. J. Falconer
Categories: Mathematics
Type: BOOK - Published: 1985 - Publisher: Cambridge University Press

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A mathematical study of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Considers questions of local density, the existence
Lectures on Harmonic Analysis
Language: en
Pages: 154
Authors: Thomas H. Wolff
Categories: Mathematics
Type: BOOK - Published: 2003-09-17 - Publisher: American Mathematical Soc.

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This book demonstrates how harmonic analysis can provide penetrating insights into deep aspects of modern analysis. It is both an introduction to the subject as