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   -> Volume 7, Issue 7

Preprint: Convergence rates of multiscale and wavelet expansions.
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Mark Kon ( (by way of Mark Kon (

PostPosted: Thu Jul 02, 1998 11:34 am    
Subject: Preprint: Convergence rates of multiscale and wavelet expansions.
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#2 Preprint: Convergence rates of multiscale and wavelet expansions.

Title: Convergence rates of multiscale and wavelet expansions, parts I and II

Authors: Mark A. Kon and Louise A. Raphael

Abstract: Several results are proved which characterize the rate at
which wavelet and multiresolution expansions converge to functions in
a given Sobolev space in the supremum error norm. Some of the results
are proved without assuming existence of a scaling function in the
multiresolution analysis. Necessary and sufficient conditions are
given for convergence at given rates in terms of behavior of Fourier
transforms of the wavelet or scaling function near the origin. Such
conditions turn out in special cases to be equivalent to moment
conditions and other known conditions determining convergence rates.

Preprint: Available at


Mark A. Kon
Department of Mathematics
Boston University
Boston, MA 02215
Tel: 617-353-9549
Fax: 617-353-8100
Street Address: 111 Cummington St., Room 259

1996-7: Fulbright fellow at University of Warsaw (above email address
can be used - mail is forwarded).
All times are GMT + 1 Hour
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