Linear canonical Bargmann transform

DOI10.1007/S11785-024-01628-9MaRDI QIDQ6658829

Bing-Zhao Li, Rong-Qian Linghu

Publication date: 8 January 2025

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

zbMATH Keywords

convolutionuncertainty principleBargmann transformlinear canonical Bargmann transform

Mathematics Subject Classification ID

Operator theory (47-XX)

Cites Work

• The Segal-Bargmann transform for Lévy white noise functionals associated with non-integrable Lévy processes
• The Poisson sum formulae associated with the fractional Fourier transform
• Quantum arithmetic with the quantum Fourier transform
• The Bargmann transform on \(L^p(\mathbb{R})\)
• Images of function and distribution spaces under the Bargmann transform
• Segal-Bargmann transforms associated to a family of coupled supersymmetries
• The AFD methods to compute Hilbert transform
• On truncated \(t\)-free Fock spaces: spectrum of position operators and shift-invariant states
• Analysis on Fock Spaces
• On a Hilbert space of analytic functions and an associated integral transform part I
• An uncertainty principle for real signals in the fractional Fourier transform domain
• The Fourier and Hilbert transforms Under the Bargmann transform
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
• Hardy type theorems for linear canonical Dunkl transform
• Uncertainty principles for the biquaternion offset linear canonical transform

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