Irregular sampling for hyperbolic secant type functions

Baranov, Anton; Belov, Yurii

doi:10.1016/j.aim.2024.109981

Advances in Mathematics

2024

DOI: 10.1016/j.aim.2024.109981

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Irregular sampling for hyperbolic secant type functions

Anton Baranov,

Yurii Belov

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2024

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Cited by 1 publication

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Sampling in quasi shift-invariant spaces and Gabor frames generated by ratios of exponential polynomials

Ulanovskii,

Zlotnikov

2024

Math. Ann.

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We introduce two families of generators (functions) $${\mathcal {G}}$$ G that consist of entire and meromorphic functions enjoying a certain periodicity property and contain the classical Gaussian and hyperbolic secant generators. Sharp results are proved on the density of separated sets that provide non-uniform sampling for the shift-invariant and quasi shift-invariant spaces generated by elements of these families. As an application, new sharp results are obtained on the density of semi-regular lattices for the Gabor frames generated by elements from these families.

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Sampling in quasi shift-invariant spaces and Gabor frames generated by ratios of exponential polynomials

Ulanovskii,

Zlotnikov

2024

Math. Ann.

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Irregular sampling for hyperbolic secant type functions

Cited by 1 publication

References 21 publications

Sampling in quasi shift-invariant spaces and Gabor frames generated by ratios of exponential polynomials

Sampling in quasi shift-invariant spaces and Gabor frames generated by ratios of exponential polynomials

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