On hankel transforms of ultradistributions
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Publication:3711034
DOI10.1080/00036818508839573zbMath0585.46034OpenAlexW2022034309MaRDI QIDQ3711034
A. B. Pandey, Ram Shankar Pathak
Publication date: 1985
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036818508839573
ultradistributionsdual spacestest function spacesgeneralized Hankel transformationuniqueness theorem for the Cauchy problem
Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15)
Related Items (10)
A generalization of \(H_{\mu}\)-spaces and Hankel transforms ⋮ The Weinstein transform associated with a family of generalized distributions ⋮ CHARACTERIZATIONS OF THE INVERSION FORMULA OF THE CONTINUOUS BESSEL WAVELET TRANSFORM OF DISTRIBUTIONS IN Hμ′(ℝ+) ⋮ The Bessel wavelet transform of distributions in DL2′-type space ⋮ Hankel-Clifford transformations on some ultradifferentiable function spaces and pseudo-differential operators ⋮ The hankel transform of gevrey ultradistributions ⋮ Spaces of generalized type \({\mathcal H}_\mu\), spaces of type \(S\) and the Hankel transformation ⋮ Estimates of pseudo-differential operators associated with fractional Hankel transform on the space of type S ⋮ Pseudo-differential type operators and Gevrey spaces ⋮ Norm estimates for the pseudo-differential operator involving fractional Hankel-like transform on \(\mathcal{S}\)-type spaces
Cites Work
- Linear partial differential operators and generalized distributions
- Hankel transforms of arbitrary order
- Ultra-distributions definies sur \(R^ n\) et sur certaines classes de variétés différentiables
- Cauchy and Poisson integral representations for ultradistributions of compact support and distributional boundary values
- On Spaces of Type $H_\mu $ and Their Hankel Transformations
- A Distributional Hankel Transformation
- The Hankel Transformation of Certain Distributions of Rapid Growth
- The Hankel Transformation of Negative Order for Distributions of Rapid Growth
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