Marcinkiewicz-Zygmund inequalities for polynomials in Fock space
Copyright policy )Marcinkiewicz-Zygmund inequalities for polynomials in Fock space
AbstractWe study the relation between Marcinkiewicz-Zygmund families for polynomials in a weighted$$L^2$$L2-space and sampling theorems for entire functions in the Fock space and the dual relation between uniform interpolating families for polynomials and interpolating sequences. As a consequence we obtain a description of signal subspaces spanned by Hermite functions by means of Gabor frames.
- Universität Wien Austria
- Universität Wien Austria
- University of Barcelona (UB) Spain
- MEDIZINISCHE UNIVERSITAT GRAZ Austria
- University of Vienna Austria
Reproducing kernel, Mathematics - Complex Variables, Funcions de variables complexes, Approximation theory, Anàlisi harmònica, 101008 Complex analysis, Incomplete gamma function, 101008 Funktionentheorie, Fock space, Functions of complex variables, Interpolation, Functional Analysis (math.FA), Hermite function, Teoria de l'aproximació, Harmonic analysis, Mathematics - Functional Analysis, Interpolació (Matemàtica), Marcinkiewicz-Zygmund inequalities, FOS: Mathematics, Complex Variables (math.CV), 30E05, 30H20, 41A10, 42B30
Reproducing kernel, Mathematics - Complex Variables, Funcions de variables complexes, Approximation theory, Anàlisi harmònica, 101008 Complex analysis, Incomplete gamma function, 101008 Funktionentheorie, Fock space, Functions of complex variables, Interpolation, Functional Analysis (math.FA), Hermite function, Teoria de l'aproximació, Harmonic analysis, Mathematics - Functional Analysis, Interpolació (Matemàtica), Marcinkiewicz-Zygmund inequalities, FOS: Mathematics, Complex Variables (math.CV), 30E05, 30H20, 41A10, 42B30
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