Complete interpolating sequences for Fourier transforms supported by convex symmetric polygons
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This article is published in Arkiv för Matematik.The article was published on 2000-03-01 and is currently open access. It has received 45 citations till now. The article focuses on the topics: Sine and cosine transforms & Fourier inversion theorem.read more
Citations
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Multi-tiling and Riesz bases
Sigrid Grepstad,Nir Lev +1 more
TL;DR: In this paper, it was shown that under the more general condition that S multi-tiles R d with translation set Λ has a Riesz basis of exponentials, and the proof was based on Meyer's quasicrystals.
Journal ArticleDOI
On multi-dimensional sampling and interpolation
TL;DR: In this article, the authors discuss sharp sufficient conditions for interpolation and sampling for functions of n variables with convex spectrum and show that the critical value for sampling sets grows linearly with the dimension.
Journal ArticleDOI
Multiple lattice tiles and Riesz bases of exponentials
TL;DR: Grepstad and Lev as mentioned in this paper showed that there is a set of exponentials that form a Riesz basis of the dual lattice of a bounded and measurable set.
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Multi-tiling and Riesz bases
Sigrid Grepstad,Nir Lev +1 more
TL;DR: In this article, it was shown that under the more general condition that S multi-tiles R^d with translation set L, S has a Riesz basis of exponentials, based on Meyer's quasicrystals.
References
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Book
Fourier Transforms in the Complex Domain
TL;DR: In this article, a generalized harmonic analysis in the complex domain of random functions has been proposed, based on Szasz's theorem and a class of singular integral equations of the exponential type.
Book
Lectures on entire functions
TL;DR: In this article, the authors considered the problem of the growth of an entire function and the distribution of its zeros, and they gave a lower bound on the maximum number of zeros of a function in the half-plane.