Scaling functions on the spectrum
2018 ◽
Vol 10
(2)
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pp. 340-346
Keyword(s):
Abstract A generalization of Mallat’s classic theory of multiresolution analysis based on the theory of spectral pairs was considered by Gabardo and Nashed [4] for which the translation set Λ = {0, r/N}+2 ℤ is no longer a discrete subgroup of ℝ but a spectrum associated with a certain one-dimensional spectral pair. In this short communication, we characterize the scaling functions associated with such a nonuniform multiresolution analysis by means of some fundamental equations in the Fourier domain.
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Keyword(s):
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2020 ◽
Vol 74
(2)
◽
pp. 1
2013 ◽
Vol 06
(01)
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pp. 1350007
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Keyword(s):
2012 ◽
Vol 10
(01)
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pp. 1250008
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1995 ◽
Vol 74
(5)
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pp. 730-733
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