On the quaternionic short-time Fourier and Segal-Bargmann transforms

DOI10.1007/s00009-021-01745-1zbMath1471.44005arXiv2009.00073OpenAlexW3153367107MaRDI QIDQ2026826

Antonino De Martino, Kamal Diki

Publication date: 20 May 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.00073

zbMATH Keywords

quaternionsshort-time Fourier transformslice hyperholomorphic functionsSegal-Bargmann transform1D quaternion Fourier transform

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) General harmonic expansions, frames (42C15)

Related Items (10)

A polyanalytic functional calculus of order 2 on the 𝑆-spectrum ⋮ Generalized Appell polynomials and Fueter–Bargmann transforms in the polyanalytic setting ⋮ Superoscillations and Fock spaces ⋮ On the Mittag Leffler Bargmann (MLB) transform ⋮ The \(\mathcal{F}\)-resolvent equation and Riesz projectors for the \(\mathcal{F}\)-functional calculus ⋮ Short time quadratic-phase quaternionic Fourier transform and associated uncertainty principle ⋮ On the polyanalytic short-time Fourier transform in the quaternionic setting ⋮ On the Clifford short-time Fourier transform and its properties ⋮ Towards a general \(\mathcal{F}\)-resolvent equation and Riesz projectors ⋮ Segal-Bargmann transforms associated to a family of coupled supersymmetries

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