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Methods of Applied Fourier Analysis (Applied and Numerical Harmonic Analysis)
 
 
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Methods of Applied Fourier Analysis (Applied and Numerical Harmonic Analysis) [Hardcover]

Jayakumar Ramanathan (Author)

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Book Description

0817639632 978-0817639631 August 26, 1998 1
This volume presents a development of the ideas of harmonic analysis with a special emphasis on application-oriented themes. In keeping with the interdisciplinary nature of the subject, theoretical aspects of the subject are complemented by in-depth explorations of related material of an applied nature. Thus, basic material on Fourier series, Hardy spaces and the Fourier transform are interwoven with chapters treating the discrete Fourier transform and fast algorithms, the spectral theory of stationary processes, H-infinity control theory, and wavelet theory.

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Editorial Reviews

Review

"The author has written a very careful, complete and readable introduction…. The treatment is mathematically sophisticated and precise…. This distinguishes the text and and makes it a very valuable reference for professionals interested in all relevant applications of Fourier analysis. This book would also be appropriate as a text for a graduate course in mathematics of advanced engineering." —Mathematical Reviews

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Inside This Book (learn more)
First Sentence:
Fourier analysis has its roots in Fourier's work on the theory of heat where he found it necessary to express any periodic function by a trigonometric series. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
integral translates, commutant lifting theorem, finite trigonometric series, spectral process, translation invariant operators, inner function, unit disc, multiresolution approximation, ambiguity function, outer functions, complete orthonormal basis, tempered distribution, analytic extension
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