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ABSTRACT We give a general construction of entire functions in d complex variables that vanish on a lattice of the form for an invertible complex-valued matrix. As an application, we… Click to show full abstract
ABSTRACT We give a general construction of entire functions in d complex variables that vanish on a lattice of the form for an invertible complex-valued matrix. As an application, we exhibit a class of lattices of density >1 that fail to be a sampling set for the Bargmann–Fock space in . By using an equivalent real-variable formulation, we show that these lattices fail to generate a Gabor frame.
Keywords:
sampling entire;
several complex;
complex variables;
functions several;
gabor;
entire functions
Journal Title: Complex Variables and Elliptic Equations
Year Published: 2019
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Journal Title: Complex Variables and Elliptic Equations
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!