On Planar Sampling with Gaussian Kernel in Spaces of Bandlimited Functions

Let I = ( a , b ) × ( c , d ) ⊂ R + 2 be an index set and let { G α ( x ) } α ∈ I be a collection of Gaussian functions, i.e. G α ( x ) = exp ( - α 1 x 1 2 - α 2 x 2 2 ) , where α = ( α 1 , α 2 ) ∈ I , x = ( x 1 , x 2 ) ∈ R 2 . We present a complete description of the uniformly discrete sets Λ ⊂ R 2...

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Veröffentlicht in:	The Journal of fourier analysis and applications 2022-06, Vol.28 (3), Article 55
1. Verfasser:	Zlotnikov, Ilya
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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