最終更新日:2022/12/24
For Besov-Triebel-Lizorkin spaces, one uses a dyadic decomposition, while a uniform decomposition yields modulation spaces. Only recently, the second author has established a fruitful connection between modern variants of wavelet theory with respect to general dilation groups (which can be treated in the context of coorbit theory) and a particular family of decomposition spaces.
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For
Besov-Triebel-Lizorkin
spaces,
one
uses
a
dyadic
decomposition,
while
a
uniform
decomposition
yields
modulation
spaces.
Only
recently,
the
second
author
has
established
a
fruitful
connection
between
modern
variants
of
wavelet
theory
with
respect
to
general
dilation
groups
(which
can
be
treated
in
the
context
of
coorbit
theory)
and
a
particular
family
of
decomposition
spaces.