Revistes Catalanes amb Accés Obert (RACO)

Sampling measures

Joaquim Ortega-Cerdà

Resum


We give a description of all measures such that for any function in a weighted Fock spaces the $L^p$ norm with respect to the measure is equivalent to the usual norm in the space. We do so by a process of discretization that reduces the problem to the description of sampling sequences. The same kind of result holds for weighted Bergman spaces and the Paley-Wiener space.

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