Regular subspaces of a quaternionic Hilbert space from quaternionic Hermite polynomials and associated coherent states
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Publication:5396241
DOI10.1063/1.4774963zbMath1296.30059arXiv1206.3684OpenAlexW1971099654MaRDI QIDQ5396241
K. Thirulogasanthar, Syed Twareque Ali
Publication date: 5 February 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.3684
Functions of hypercomplex variables and generalized variables (30G35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Coherent states (81R30)
Related Items
Generalized Appell polynomials and Fueter–Bargmann transforms in the polyanalytic setting ⋮ Coherent states on quaternion slices and a measurable field of Hilbert spaces ⋮ On the dimensions of oscillator algebras induced by orthogonal polynomials ⋮ A representation of Weyl-Heisenberg Lie algebra in the quaternionic setting ⋮ Coherent state quantization of quaternions ⋮ General construction of reproducing kernels on a quaternionic Hilbert space ⋮ On the polyanalytic short-time Fourier transform in the quaternionic setting ⋮ S-spectrum and associated continuous frames on quaternionic Hilbert spaces ⋮ Discrete frames on finite dimensional left quaternion Hilbert spaces ⋮ Canonical, Squeezed and Fermionic Coherent States in a Right Quaternionic Hilbert Space with a Left Multiplication on It ⋮ Generalized 2D Laguerre polynomials and their quaternionic extensions ⋮ Composition operators on generalized Fock spaces of slice hyperholomorphic functions ⋮ Squeezed states in the quaternionic setting
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