On dual transform of fractional Hankel transform

DOI10.1080/17476933.2021.1903452zbMath1502.44003arXiv2004.06462OpenAlexW3151010562MaRDI QIDQ5089909

Allal Ghanmi

Publication date: 15 July 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.06462

zbMATH Keywords

singular valuesSegal-Bargmann transformfractional Hankel transformslice hyperholomorphic Bergman space\(p\)-Schatten class

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Integral transforms of special functions (44A20) Linear operators on function spaces (general) (47B38) Hardy spaces (30H10) Bergman spaces and Fock spaces (30H20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Slice hyperholomorphic Schur analysis
• Interpolation problems for certain classes of slice hyperholomorphic functions
• Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions
• Schur functions and their realizations in the slice hyperholomorphic setting
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• The slice hyperholomorphic Bergman space on \(\mathbb {B}_{R}\): integral representation and asymptotic behavior
• Further properties of the Bergman spaces of slice regular functions
• Fractional Hankel and Bessel wavelet transforms of almost periodic signals
• Some integral relations of Hankel transform type and applications to elasticity theory
• A fractional power theory for Hankel transform in \(L^ 2(\mathbb{R}^ +)\)
• Dual of 2D fractional Fourier transform associated to Itô-Hermite polynomials
• A new theory of regular functions of a quaternionic variable
• Regular Functions of a Quaternionic Variable
• On slice biregular functions and isomorphisms of Bergman spaces
• The Bergman-Sce transform for slice monogenic functions
• On a Hilbert space of analytic functions and an associated integral transform part I
• Fractionalization of Hankel Transforms
• On Two Approaches to the Bergman Theory for Slice Regular Functions
• Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators

This page was built for publication: On dual transform of fractional Hankel transform