Biorthogonal Wavelet Expansions |
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| Authors: | W Dahmen C A Micchelli |
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| Institution: | (1) Institut für Geometrie und Praktische Mathematik , RWTH Aachen, Templergraben 55, 52056 Aachen, Germany, DE;(2) Department of Mathematical Sciences, IBM T. J. Watson Research Center, Yorktown Heights, NY 10598, USA, US |
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| Abstract: | This paper is concerned with developing conditions on a given finite collection of compactly supported algebraically linearly
independent refinable functions that insure the existence of biorthogonal systems of refinable functions with similar properties.
In particular, we address the close connection of this issue with stationary subdivision schemes.
Date received: May 20, 1995. Date revised: March 2, 1996. |
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| Keywords: | , Finitely generated shift-invariant spaces, Stationary subdivision schemes, Matrix refinement relations, Biorthogonal,,,,,wavelets, AMS Classification, 39B62, 41A63, |
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