A Distributional Hankel Transformation

DOI10.1137/0114049zbMath0154.13803OpenAlexW1982422062MaRDI QIDQ5533569

Armen H. Zemanian

Publication date: 1966

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0114049

zbMATH Keywords

integral equations, integral transforms

Related Items

On distributional finite hankel transform ⋮ Square functions and spectral multipliers for Bessel operators in UMD spaces ⋮ On hankel transforms of ultradistributions ⋮ A generalization of \(H_{\mu}\)-spaces and Hankel transforms ⋮ On Some Classes of Solutions of the Wave Equation ∂t2f−Δf=0 ⋮ Density in spaces of interpolation by Hankel translates of a basis function ⋮ Characterization of Banach valued BMO functions and UMD Banach spaces by using Bessel convolutions ⋮ Generalized functions and Laguerre expansions ⋮ On the topology of Hankel multipliers and of Hankel convolution operators ⋮ The Fourier transform of multiradial functions ⋮ The role of nonpolynomiality in uniform approximation by RBF networks of Hankel translates ⋮ CHARACTERIZATIONS OF THE INVERSION FORMULA OF THE CONTINUOUS BESSEL WAVELET TRANSFORM OF DISTRIBUTIONS IN Hμ′(ℝ+) ⋮ On then-dimensional Hankel transforms of arbitrary order ⋮ U^p_μ-Spaces And hankel Transform ⋮ Hankel transformation and Hankel convolution of tempered Beurling distributions. ⋮ Unnamed Item ⋮ Colombeau Type Generalized Functions of Compact Spectrum with respect to the Hankel Transformation ⋮ Direct form seminorms arising in the theory of interpolation by Hankel translates of a basis function ⋮ A pair of generalized Hankel-Clifford transformations and their applications ⋮ On Fourier transforms of radial functions and distributions ⋮ An extension problem for \(C^\infty\) functions with symmetries ⋮ On Hankel convolutors on certain Hankel transformable function spaces ⋮ Continuous Bessel wavelet transform of distributions ⋮ Bessel wavelet transform on the spaces with exponential growth ⋮ The distributional hankel transform, its inversion and application ⋮ New spaces of functions and hyperfunctions for Hankel transforms and convolutions ⋮ A scheme for interpolation by Hankel translates of a basis function ⋮ On hankel convolutors on zemanian spaces ⋮ The fractional Bessel equation in Hölder spaces ⋮ UMD-valued square functions associated with Bessel operators in Hardy and BMO spaces ⋮ Multipliers of hankel-K{m_p}spaces^* ⋮ On the Hankel transform of distributions ⋮ n-Dimensional Hankel transform and complex powers of Bessel operator ⋮ On Hankel Transform and Hankel Convolution of Beurling Type Distributions Having Upper Bounded Support ⋮ Structure, boundedness, and convergence in the dual of a Hankel-K{M_p} space ⋮ On Hankel Transform ⋮ A Paley-Wiener theorem for the Hankel transform of Colombeau type generalized functions ⋮ Radial basis function neural networks of Hankel translates as universal approximators ⋮ The classical Hankel transform in the Kirillov model of the discrete series ⋮ On Hankel convolution equations in distribution spaces ⋮ The Boas problem on Hankel transforms ⋮ Hankel convolution operators on entire functions and distributions ⋮ Paley-Wiener and Boas theorems for singular Sturm-Liouville integral transforms

This page was built for publication: A Distributional Hankel Transformation