Sampling and interpolation in the Bargmann-Fock space of polyanalytic functions

We give a complete characterization of all lattice sampling and interpolating sequences in the Fock space of polyanalytic functions (poly-Fock spaces), displaying a ”Nyquist rate” which increases with n, the degree of polyanaliticity of the space: A sequence of lattice points is sampling if and only...

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Bibliographic Details
Main Author: Abreu, Luís Daniel (author)
Format: other
Language:eng
Published: 2009
Subjects:
Online Access:http://hdl.handle.net/10316/11181
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/11181