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Fourier Analysis and Hausdorff Dimension
Language: en
Pages: 440
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:
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,
Analysis, Probability And Mathematical Physics On Fractals
Language: en
Pages: 596
Authors: Rogers Luke G
Categories: Mathematics
Type: BOOK - Published: 2020-02-26 - Publisher: World Scientific

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In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing th
Fractals in Probability and Analysis
Language: en
Pages: 412
Authors: Christopher J. Bishop
Categories: Mathematics
Type: BOOK - Published: 2016-12-22 - Publisher: Cambridge University Press

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This is a mathematically rigorous introduction to fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measu
New Trends in Applied Harmonic Analysis, Volume 2
Language: en
Pages: 321
Authors: Akram Aldroubi
Categories: Mathematics
Type: BOOK - Published: 2019-11-26 - Publisher: Springer Nature

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This contributed volume collects papers based on courses and talks given at the 2017 CIMPA school Harmonic Analysis, Geometric Measure Theory and Applications,
Discrete Harmonic Analysis
Language: en
Pages:
Authors: Tullio Ceccherini-Silberstein
Categories: Mathematics
Type: BOOK - Published: 2018-05-31 - Publisher: Cambridge University Press

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This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on f
Real Analysis
Language: en
Pages: 424
Authors: Elias M. Stein
Categories: Mathematics
Type: BOOK - Published: 2009-11-28 - Publisher: Princeton University Press

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Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas
Assouad Dimension and Fractal Geometry
Language: en
Pages:
Authors: Jonathan M. Fraser
Categories: Mathematics
Type: BOOK - Published: 2020-10-29 - Publisher: Cambridge University Press

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The Assouad dimension is a notion of dimension in fractal geometry that has been the subject of much interest in recent years. This book, written by a world exp
New Trends in Applied Harmonic Analysis
Language: en
Pages: 334
Authors: Akram Aldroubi
Categories: Mathematics
Type: BOOK - Published: 2016-04-21 - Publisher: Birkhäuser

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This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representation
Lectures on Harmonic Analysis
Language: en
Pages: 137
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