On a new characterization of the true-poly-analytic Bargmann spaces

DOI10.1007/s11785-023-01465-2OpenAlexW4390673867MaRDI QIDQ6187446

Publication date: 31 January 2024

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-023-01465-2

zbMATH Keywords

reproducing kernel magnetic Laplacian polyanalytic Intissar-Hermite polynomials true polyanalytic Bargmann space van Eijndhoven-Meyers Bargmann space

Mathematics Subject Classification ID

Other special orthogonal polynomials and functions (33C47) Holomorphic functions of several complex variables (32Axx)

Cites Work

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The polyanalytic Ginibre ensembles
Superframes and polyanalytic wavelets
Sampling and interpolation in Bargmann-Fock spaces of polyanalytic functions
Spectral properties of the Cauchy transform on $L_2(\mathbb C,e^{-|z|^2}\lambda(z))$
New orthogonality relations for the Hermite polynomials and related Hilbert spaces
On slice polyanalytic functions of a quaternionic variable
Polyanalytic Toeplitz operators: isomorphisms, symbolic calculus and approximation of Weyl operators
Donoho-Logan large sieve principles for modulation and polyanalytic Fock spaces
Reproducing kernel Hilbert spaces of polyanalytic functions of infinite order
S-polyregular Bargmann spaces
On a novel class of polyanalytic Hermite polynomials
On the polyanalytic short-time Fourier transform in the quaternionic setting
Explicit formulas for reproducing kernels of generalized Bargmann spaces on Cn
Operational formulae for the complex Hermite polynomialsH_p,q(z, z¯)
Coherent state transforms attached to generalized Bargmann spaces on the complex plane
Mehler's formulas for the univariate complex Hermite polynomials and applications
The Laguerre Transform
On a Hilbert space of analytic functions and an associated integral transform part I
Harmonic Analysis in Phase Space. (AM-122)
ON A Hermite Transform in Spaces of Generalized Functions On R_{n}
A special orthogonal complement basis for holomorphic-Hermite functions and associated 1d- and 2d-fractional Fourier transforms
Complex Hermite polynomials: Their combinatorics and integral operators
Function Spaces of Polyanalytic Functions
Construction of concrete orthonormal basis for (L2, Γ, χ)-theta functions associated to discrete subgroups of rank one in $({\mathbb {C}},+)$(C,+)
JACOBI TRANSFORMS
Solving the heat equation for a perturbed magnetic Laplacian on the complex plane

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