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   -> Volume 1, Issue 8

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Author Message
Samir Chettri, Nasa.

PostPosted: Mon Oct 26, 1992 5:51 pm    
Subject: question
Reply with quote


Hello Fellow-Surfers:

I have a question related to the article by Gilbert Strang
"Wavelets and Dilation Equations," SIAM, V. 31, #4, pp. 514-627,
December 1989.

On page 617, Strang says:

"For approximation with accuracy $h^p$ , the Fourier transform $ phi^{hat} $
must have zeros of order p at all points $ xi = 2pi n $ ....."

This statement occurs before "CONDITION A" in his paper. Can anyone
tell me where this statement comes from, i.e., from functional
analysis, approximation theory etc.

It is my understanding that a comprehension the origin of the above
statement is important in understanding CONDITION A.

I have many questions related to the paper but I would like to have
this answered first.


Samir (
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