Functions with Disconnected Spectrum: Sampling, Interpolation, Translates - Brossura

Olevskii, Alexander M.; Ulanovskii, Alexander

Brossura

ISBN 10: 147042889X ISBN 13: 9781470428891

Casa editrice: Amer Mathematical Society, 2016

Riassunto

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)

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2016
• Lingua: Inglese
• ISBN 10: 147042889X
• ISBN 13: 9781470428891
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 143
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile