Discrete Fourier Analysis

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    Discrete Fourier Analysis
    By: M. W. Wong
    Publisher:
    Birkhäuser
    Print ISBN: 9783034801157, 3034801157
    eText ISBN: 9783034801164, 3034801165
    Copyright year: 2011
    Format: PDF
    Available from $ 74.99 USD
    SKU 9783034801164
    This textbook presents basic notions and techniques of Fourier analysis in discrete settings. Written in a concise style, it is interlaced with remarks, discussions and motivations from signal analysis. The first part is dedicated to topics related to the Fourier transform, including discrete time-frequency analysis and discrete wavelet analysis. Basic knowledge of linear algebra and calculus is the only prerequisite. The second part is built on Hilbert spaces and Fourier series and culminates in a section on pseudo-differential operators, providing a lucid introduction to this advanced topic in analysis. Some measure theory language is used, although most of this part is accessible to students familiar with an undergraduate course in real analysis. Discrete Fourier Analysis is aimed at advanced undergraduate and graduate students in mathematics and applied mathematics. Enhanced with exercises, it will be an excellent resource for the classroom as well as for self-study.
     

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