83 citations · 515 across the 58 of their papers we have counts for
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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…
Marcinkiewicz-Zygmund Inequalities for Polynomials in Bergmann and Hardy Spaces
Karlheinz Gröchenig, Joaquim Ortega-Cerdà
We study the relationship between sampling sequences in infinite dimensional Hilbert spaces of analytic functions and Marcinkiewicz-Zygmund inequalities in subspaces of polynomials…
Phase-Retrieval in Shift-Invariant Spaces with Gaussian Generator
Karlheinz Gröchenig
We study the problem of recovering a function of the form from its phaseless samples on some arbitrary countable set $Λ\…
Sampling of Entire Functions of Several Complex Variables on a Lattice and Multivariate Gabor Frames
Karlheinz Gröchenig, Yurii Lyubarskii
We give a general construction of entire functions in complex variables that vanish on a lattice of the form for an invertible complex-valued matrix. As an…
Banach Gabor frames with Hermite functions: polyanalytic spaces from the Heisenberg group
Luis Daniel Abreu, Karlheinz Gröchenig
Gabor frames with Hermite functions are equivalent to sampling sequences in true Fock spaces of polyanalytic functions. In the L^2-case, such an equivalence follows from the unitar…
Frame Constants of Gabor Frames near the Critical Density
A. Borichev, K. Gröchenig, Yu. Lyubarskii
We consider Gabor frames generated by a Gaussian function and describe the behavior of the frame constants as the density of the lattice approaches the critical value.