Spectral Measures Associated with the Factorization of the Lebesgue Measure on a Set via Convolution

Let Q be a fundamental domain of some full-rank lattice in R d and let μ and ν be two positive Borel measures on R d such that the convolution μ ∗ ν is a multiple of χ Q . We consider the problem as to whether or not both measures must be spectral (i.e. each of their respective associated L 2 space...

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Veröffentlicht in:	The Journal of fourier analysis and applications 2014-06, Vol.20 (3), p.453-475
Hauptverfasser:	Gabardo, Jean-Pierre, Lai, Chun-Kit
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Approximations and Expansions Fourier Analysis Mathematical Methods in Physics Mathematics Mathematics and Statistics Partial Differential Equations Signal,Image and Speech Processing
Online-Zugang:	Volltext
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