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- W1567688262 abstract "Given a $dtimes d$ expansive dilation matrix $D$, a measurable set $Esubset mathbb {R}^d$ is called a $D^t$-dilation generator of $mathbb {R}^d$ if $mathbb {R}^d$ is tiled (modulo null sets) by the collection ${ (D^t)^j E, jin mathbb {Z}}$. Our main goal in this paper is to prove certain results relating the support of the Fourier transform of functions generating a wavelet or orthonormal affine system associated with the dilation $D$ to an arbitrary set $E$ which is a $D^t$-dilation generator of $mathbb {R}^d$." @default.
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- W1567688262 date "2006-11-07" @default.
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- W1567688262 title "Holes in the spectrum of functions generating affine systems" @default.
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- W1567688262 doi "https://doi.org/10.1090/s0002-9939-06-08659-x" @default.
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