Scaling functions on the spectrum

Autor: Abdullah, Shah Firdous A.
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Acta Universitatis Sapientiae: Mathematica, Vol 10, Iss 2, Pp 340-346 (2018)
Druh dokumentu: article
ISSN: 2066-7752
DOI: 10.2478/ausm-2018-0026
Popis: 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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