Bounds for the kernel of the \((\kappa ,a)\)-generalized Fourier transform
type: Item
instance of: scholarly article
title: Bounds for the kernel of the \((\kappa ,a)\)-generalized Fourier transform
author: H. De Bie
author: Lian Pan
author: Frederick Maes
published in: Journal of Functional Analysis
publication date: 2025-01-08T00:00:00Z
Mathematics Subject Classification ID: 42B10
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33C52
zbMATH DE Number: 7962976
zbMATH Keywords: generalized Fourier transform
zbMATH Keywords: integral kernel
zbMATH Keywords: Laplace transform
zbMATH Keywords: Prabhakar function
MaRDI profile type: Publication
cites work: Translation operator and maximal function for the \((k,1)\)-generalized Fourier transform
cites work: Generalized Fourier transforms \(\mathcal F_{k,a}\)
cites work: Laguerre semigroup and Dunkl operators
cites work: Explicit formulas for the Dunkl dihedral kernel and the \((\kappa,a)\)-generalized Fourier kernel
cites work: The kernel of the radially deformed Fourier transform
cites work: The Dunkl kernel and intertwining operator for dihedral groups
cites work: Generalized Fourier Transforms Arising from the Enveloping Algebras of 𝔰𝔩(2) and 𝔬𝔰𝔭(1∣2)
cites work: On the Clifford-Fourier Transform
cites work: On a Neumann-type series for modified Bessel functions of the first kind
cites work: The Dunkl transform
cites work: Orthogonal Polynomials of Several Variables
cites work: Hörmander's multiplier theorem for the Dunkl transform
cites work: The Prabhakar or three parameter Mittag-Leffler function: theory and application
cites work: Uncertainty principles for integral operators
cites work: Pitt's Inequalities and Uncertainty Principle for Generalized Fourier Transform
cites work: On the kernel of the -Generalized fourier transform
cites work: Mittag-Leffler Functions, Related Topics and Applications
cites work: Q4205967
cites work: Weighted inequalities and uncertainty principles for the \((k,a)\)-generalized Fourier transform
cites work: The Schrödinger model for the minimal representation of the indefinite orthogonal group 𝑂(𝑝,𝑞)
cites work: L p -L q Boundedness of (k, a)-Fourier Multipliers with Applications to Nonlinear Equations
cites work: Bessel Functions: Monotonicity and Bounds
cites work: Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation
cites work: Q5518575
cites work: Q3579593
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Q4023180
DOI: 10.1016/J.JFA.2024.110755
description: scientific article; zbMATH DE number 7962976