Discrete Fourier Analysis (Pseudo-Differential Operators)

M. W. Wong

ISBN 10: 3034801157 / ISBN 13: 9783034801157

Editore: Springer Basel 2011-06-14, 2011

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Titolo: Discrete Fourier Analysis (...

Casa editrice: Springer Basel 2011-06-14

Data di pubblicazione: 2011

Legatura: Paperback

Condizione: New

Descrizione articolo

Riassunto:

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.

Informazioni sull?autore:

M. W. Wong is currently Chair of Department of Mathematics and Statistics at York University, Toronto (Canada), past-President (2005-07 and 2007-09) of the International Society for Analysis, its Applications and Computation (ISAAC) and Director of the ISAAC Special Interest Group in Pseudo-Differential Operators (IGPDO).