Traces of Functions in Fock Spaces on Lattices of Critical Density

نویسندگان

  • JEREMIAH BUCKLEY
  • JOAQUIM ORTEGA-CERDÀ
چکیده

We are interested in describing the set of values c = (cλ)λ∈Λ such that there exists some function f in a Fock space satisfying the condition f |Λ = c where Λ is a sequence that ‘just fails’ to be interpolating. While we shall prove our results in a more general context, we begin by introducing the problem in the classical Bargmann-Fock space, where the results are more easily digestible. We define the classical Bargmann-Fock space, as studied in [Sei92] and [SW92], by

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تاریخ انتشار 2013