Gelfand-Shilov spaces for the Hankel transform

DOI10.1016/0019-3577(92)90002-3zbMath0777.46022OpenAlexW1977837568MaRDI QIDQ1196256

Antonio J. Duran

Publication date: 15 December 1992

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(92)90002-3

zbMATH Keywords

Gelfand-Shilov spacesSchwartz spaceHankel-Clifford transformHC-transform

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12)

Related Items (10)

\(G\)-type spaces of ultradistributions over \(\mathbb {R}^d_+\) and the Weyl pseudo-differential operators with radial symbols ⋮ Global regularity of Weyl pseudo-differential operators with radial symbols in each phase-space variable ⋮ On one generalization of the Cauchy problem for singular evolutionary equations of the parabolic type ⋮ Hankel-Clifford transformations on some ultradifferentiable function spaces and pseudo-differential operators ⋮ Spaces of generalized type \({\mathcal H}_\mu\), spaces of type \(S\) and the Hankel transformation ⋮ Pseudo-differential operator related to Hankel transform on Gelfand-Shilov spaces of type W ⋮ Structure, boundedness, and convergence in the dual of a Hankel-K{M_p} space ⋮ Estimates of pseudo-differential operators associated with fractional Hankel transform on the space of type S ⋮ A STRUCTURE THEOREM FOR THE SPACE $({G}^{\alpha}_{\alpha})^{\prime}$ ⋮ Norm estimates for the pseudo-differential operator involving fractional Hankel-like transform on \(\mathcal{S}\)-type spaces

Cites Work

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• Equality of the spaces \(S^ \beta_ \alpha\) and \(S_ \alpha \cap S^ \beta\)
• Hankel transformations and spaces of type \(S\)
• Laguerre expansions of Gel'fand-Shilov spaces
• On Hankel Transform
• Analyticity Spaces of Self-Adjoint Operators Subjected to Perturbations with Applications to Hankel Invariant Distribution Spaces
• The Analytic Functionals in the Lower Half Plane as a Gel'fand-Shilov Space
• On Spaces of Type $H_\mu $ and Their Hankel Transformations
• A Generalized Weierstrass Transformation
• The Dual Poisson-Laguerre Transform
• The Dual Poisson–Laguerre Transform of a Class of Generalized Functions
• On Hankel Transformable Spaces and a Cauchy Problem

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