On the range of the Hankel and extended Hankel transforms

DOI10.1006/jmaa.1997.5351zbMath0881.44004OpenAlexW2028837737MaRDI QIDQ1359627

Tuan, V. K.

Publication date: 22 February 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5351

zbMATH Keywords

Hankel transformrangeBessel functionfunction spacesPaley-Wiener type theorem

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (18)

Real Paley-Wiener theorems for the Koornwinder-Swarttouw \(q\)-Hankel transform ⋮ Unnamed Item ⋮ Convolution with the linear canonical Hankel transformation ⋮ Hankel-type integral transforms and their fractionalization: a note ⋮ On Schrödinger operators with inverse square potentials on the half-line ⋮ Paley-Wiener-type theorem for a class of integral transforms arising from a singular Dirac system ⋮ Real Paley–Wiener theorems and local spectral radius formulas ⋮ Isometrim properties of the hankel transfromation in weighted sobolev spaces^∗ ⋮ On an index integral transform involving the modified bessel function ⋮ New Type Paley-Wiener Theorems for the Dunkl Transform on R ⋮ Spectrums of functions associated to the fractional Clifford-Fourier transform ⋮ Real Paley-Wiener theorems associated with the Weinstein operator ⋮ New type Paley-Wiener theorems for the modified multidimensional Mellin transform ⋮ On the range of the Fourier transform connected with Riemann-Liouville operator ⋮ Generalization of a theorem of Boas to a class of integral transforms ⋮ Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform^† ⋮ Paley-Wiener-type theorems for a class of integral transforms ⋮ Paley-Wiener and Boas theorems for singular Sturm-Liouville integral transforms

Cites Work

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• Hankel transformations and spaces of type \(S\)
• Characterization of Hankel transformable generalized functions
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• On the Hankel transform of distributions
• A Property of Infinitely Differentiable Functions
• On Hankel Transform
• Analyticity Spaces of Self-Adjoint Operators Subjected to Perturbations with Applications to Hankel Invariant Distribution Spaces
• On the Bessel Transformation of Arbitrary Order
• A Mixed Parseval Equation and the Generalized Hankel Transformations
• On the Hankel and Some Related Transformations
• On the Boundedness and Range of the Extended Hankel Transformation
• On the Range of the Hankel Transformation
• The Analytic Functionals in the Lower Half Plane as a Gel'fand-Shilov Space
• On Schwartz’s Hankel Transformation of Certain Spaces of Distributions
• The Complex Hankel andI-Transformations of Generalized Functions
• An Inversion Theorem for Hankel Transforms

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