Functions with Disconnected Spectrum: Sampling, Interpolation, Translates (University Lecture Series, 65, Band 65) - Softcover

Olevskii, Alexander M.; Ulanovskii, Alexander

 
9781470428891: Functions with Disconnected Spectrum: Sampling, Interpolation, Translates (University Lecture Series, 65, Band 65)
Softcover
ISBN 10: 147042889X ISBN 13: 9781470428891
Verlag: American Mathematical Society, 2016

Inhaltsangabe

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)

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Über die Autorin bzw. den Autor

Alexander M. Olevskii, Tel Aviv University, Israel.

Alexander Ulanovskii, Stavanger University, Norway.

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Verlag
American Mathematical Society
Erscheinungsdatum
2016
Sprache
Englisch
ISBN 10 
147042889X
ISBN 13 
9781470428891
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
143
Kontakt zum Hersteller
Nicht verfügbar
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preigu
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