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- W298972689 abstract "Let b ≥ 2 be a positive integer. Let D be a finite subset of Z and { n k } k = 1 ∞ ⊆ N be a sequence of strictly increasing numbers. A Moran measure μ b , D , { n k } is a Borel probability measure generated by the Moran iterated function system (Moran IFS) { f k , d ( x ) = b n k − 1 − n k ( x + d ) : d ∈ D , k ∈ N , n 0 = 0 } . In this paper we study one of the basic problems in Fourier analysis associated with μ b , D , { n k } . More precisely, we give some conditions under which the measure μ b , D , { n k } is a spectral measure, i.e., there exists a discrete subset Λ ⊆ R such that E ( Λ ) = { e 2 π i λ x : λ ∈ Λ } is an orthonormal basis for L 2 ( μ b , D , { n k } ) ." @default.
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- W298972689 date "2015-10-01" @default.
- W298972689 modified "2023-10-16" @default.
- W298972689 title "Spectral property of a class of Moran measures on <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mi mathvariant=double-struck>R</mml:mi></mml:math>" @default.
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- W298972689 doi "https://doi.org/10.1016/j.jmaa.2015.05.006" @default.
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