On approximations by shifts of the Gaussian function

2008/12/02 by Gerard Ascensi, Ascensi, Gerard
Mathematics · #41A30 #42A65 #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.0812.0476

openalex publication_date 2008/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper study the discrete sets of translations of the Gaussian function that span the spaces L1(R) and L2(R).

Related

• Fourier analysis in spaces of shifts
• Approximation using scattered shifts of a multivariate function
• Complete interpolating sequences for the Gaussian shift-invariant space
• Gauss-Hermite Approximation Formula
• Approximation by translates of a single function of functions in space induced by the convolution with a given function