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Functions with Disconnected Spectrum : Sampling, Interpolation, Translates (Paperback) (Alexander M.

Functions with Disconnected Spectrum : Sampling, Interpolation, Translates (Paperback) (Alexander M. - image 1 of 1

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This volume contains 12 lectures on functions with disconnected spectrum, dealing with problems of Fourier analysis, which are partially inspired by signal theory. It discusses the classical sampling problem, the problem of interpolation of discrete functions by analytic ones with spectrum in S, and the problem of completeness of discrete translates. It provides an elementary introduction; classical results due to Beurling, Kahane, and Landau; recent progress in the area, such as construction of universal sampling sets and high-dimensional and non-analytic phenomena; and the completeness problem for discrete translates. It illustrates how methods of harmonic and complex analysis interact with various key concepts in different areas, such as Minkowski's lattice, Kolmogorov's width, Meter's quasicrystals, and others. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)
Number of Pages: 143.0
Genre: Mathematics
Series Title: University Lecture Series
Format: Paperback
Publisher: Amer Mathematical Society
Author: Alexander M. Olevskii
Language: English
Street Date: August 18, 2016
TCIN: 51706899
UPC: 9781470428891
Item Number (DPCI): 248-32-6234

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