Holes in the spectrum of functions generating affine systems
نویسندگان
چکیده
منابع مشابه
Holes in the Spectrum of Functions Generating Affine Systems
Given a d× d expansive dilation matrix D, a measurable set E ⊂ R d is called a Dt-dilation generator of Rd if Rd is tiled (modulo null sets) by the collection {(Dt)jE, j ∈ 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 whi...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2006
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-06-08659-x