ON WAVELET INDUCED ISOMORPHISMS
2010 ◽
Vol 08
(03)
◽
pp. 359-371
◽
Keyword(s):
While constructing a dyadic wavelet set through an approach which is purely set-theoretic, Ionascu observed that a dyadic one-dimensional wavelet set W gives rise to a specific measurable, bijective, piecewise increasing selfmap [Formula: see text] on [0, 1) and termed it to be a wavelet induced isomorphism. Further, he found that such maps provide wavelet sets which, in turn, characterize wavelet sets. In this paper, we consider two-interval, three-interval and symmetric four-interval wavelet sets and determine their wavelet induced isomorphisms. Also, fixed point sets of [Formula: see text] are determined for these wavelet sets.
2015 ◽
Vol 13
(05)
◽
pp. 1550034
Keyword(s):
2016 ◽
Vol 14
(03)
◽
pp. 1650016
1980 ◽
Vol 23
(4)
◽
pp. 453-455
◽
Keyword(s):
1995 ◽
Vol 123
(1)
◽
pp. 311
◽
Keyword(s):
1973 ◽
Vol 179
◽
pp. 251-251
◽
1971 ◽
Vol 23
(3)
◽
pp. 461-467
◽
Keyword(s):