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math.FA2021
Complete interpolating sequences for the Gaussian shift-invariant space
Anton Baranov, Yurii Belov, Karlheinz Gröchenig
We give a full description of complete interpolating sequences for the shift-invariant space generated by the Gaussian. As a consequence, we rederive the known density conditions f…
math.CV2021★ 1 cited
Marcinkiewicz-Zygmund Inequalities for Polynomials in Fock Space
Karlheinz Gröchenig, Joaquim Ortega-Cerdà
We study the relation between Marcinkiewicz-Zygmund families for polynomials in a weighted -space and sampling theorems for entire functions in the Fock space and the dual rel…
math.FA2021★ 2 cited
Necessary Density Conditions for Sampling and Interpolation in Spectral Subspaces of Elliptic Differential Operators
Karlheinz Gröchenig, Andreas Klotz
We prove necessary density conditions for sampling in spectral subspaces of a second order uniformly elliptic differential operator on with slowly oscillating symbol. For con…