Methods of Applied Fourier Analysis

O 5.4 The Fourier Transform : L2 Theory The definition of the Fourier transform for LP ( T ) , p > 1 , is trivial because LP ( T ) C L ' ( T ) – this relationship has no direct analogue in the R ” case . Indeed , there is no immediate ...

Methods of Applied Fourier Analysis

Thus, basic material on Fourier series, Hardy spaces, and Fourier transform are interweaved with material that discusses discrete Fourier transform and fast algorithms, spectral theory of stationary processes, control theory, and wavelets.

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Methods of Applied Fourier Analysis
Language: en
Pages: 329
Authors: Jayakumar Ramanathan
Categories: Mathematics
Type: BOOK - Published: 1998-08-26 - Publisher: Springer Science & Business Media

Thus, basic material on Fourier series, Hardy spaces, and Fourier transform are interweaved with material that discusses discrete Fourier transform and fast algorithms, spectral theory of stationary processes, control theory, and wavelets.
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Language: en
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Authors: Javier Duoandikoetxea Zuazo
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Type: BOOK - Published: 2001-01-01 - Publisher: American Mathematical Soc.

Books about Fourier Analysis
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Language: en
Pages: 618
Authors: Gerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche
Categories: Mathematics
Type: BOOK - Published: 2019-02-05 - Publisher: Springer

This book offers a unified presentation of Fourier theory and corresponding algorithms emerging from new developments in function approximation using Fourier methods. It starts with a detailed discussion of classical Fourier theory to enable readers to grasp the construction and analysis of advanced fast Fourier algorithms introduced in the second
Fourier Analysis
Language: en
Pages: 415
Authors: Michael Ruzhansky, Ville Turunen
Categories: Mathematics
Type: BOOK - Published: 2014-01-18 - Publisher: Springer Science & Business Media

This book is devoted to the broad field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory of pseudo-differential operators, partial differential equations, and time-frequency analysis. It is based on lectures given at the international conference “Fourier Analysis and Pseudo-Differential Operators,” June 25–30,
Fourier Analysis
Language: en
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Authors: Roger Ceschi, Jean-Luc Gautier
Categories: Technology & Engineering
Type: BOOK - Published: 2017-01-19 - Publisher: John Wiley & Sons

This book aims to learn to use the basic concepts in signal processing. Each chapter is a reminder of the basic principles is presented followed by a series of corrected exercises. After resolution of these exercises, the reader can pretend to know those principles that are the basis of this