Riesz bounds of Wilson bases generated by B-splines

Trebels, Bernhard ; Steidl, Gabriele

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URL: http://ub-madoc.bib.uni-mannheim.de/1598
URN: urn:nbn:de:bsz:180-madoc-15981
Document Type: Working paper
Year of publication: 1999
The title of a journal, publication series: None
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Classification: MSC: 42C15 42A65 41A15 ,
Subject headings (SWD): Riesz-Algebra , Bivariater Spline , Biorthogonale Riesz-Basis
Keywords (English): Wilson bases , Zak transform , Riesz bounds , B-splines , exponential Euler splines
Abstract: In this short paper, we are concerned with biorthogonal Wilson bases having B-splines as well as powers of sinc functions as window functions. We prove properties of B-splines and exponential Euler splines and use these properties to estimate the Riesz bounds of the Wilson bases.
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