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math.CA2017
Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames
Karlheinz Gröchenig, José Luis Romero, Joachim Stöckler
We study the problem of sampling with derivatives in shift-invariant spaces generated by totally-positive functions of Gaussian type or by the hyperbolic secant. We provide sharp c…
math.CA2017
From Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equations
Aingeru Fernandez-Bertolin, Karlheinz Gröchenig, Philippe Jaming
The aim of this paper is to establish uniqueness properties of solutions of the Helmholtz and Laplace equations. In particular, we show that if two solutions of such equations on a…