Scaling sets and generalized scaling sets on Cantor dyadic group
2020 ◽
Vol 18
(04)
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pp. 2050019
Keyword(s):
Scaling and generalized scaling sets determine wavelet sets and hence wavelets. In real case, wavelet sets were proved to be an important tool for the construction of MRA as well as non-MRA wavelets. However, any result related to scaling/generalized scaling sets is not available in case of locally compact abelian groups. This paper gives a characterization of scaling sets and its generalized version along with relevant examples in dual Cantor dyadic group [Formula: see text]. These results can further be generalized to arbitrary locally compact abelian groups.
2016 ◽
Vol 15
(04)
◽
pp. 1650074
◽
1968 ◽
Vol 9
(2)
◽
pp. 98-100
◽
Keyword(s):
Keyword(s):
Keyword(s):
2019 ◽
Vol 152
◽
pp. 82-88
◽
2014 ◽
Vol 13
(04)
◽
pp. 1350143
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