he procedure of the
proposition
(
Existence of
smooth compactly supported wavelets
) leaves very little control over the
resulting wavelets. In particular, the wavelets are not symmetrical and the
smoothness of wavelets grows slowly with complexity (parameter
)
of the procedure. Most of the freedom is lost due to the requirement of
orthogonality across location index. In this section we discuss a procedure
that drops orthogonality across location index but preserves most analytical
properties.
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