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Hankel transformations and spaces of type \(S\)

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Publication:1174832
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DOI10.1016/0019-3577(91)90039-AzbMath0742.46025MaRDI QIDQ1174832

S. J. L. van Eijndhoven, C. A. M. van Berkel

Publication date: 25 June 1992

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


zbMATH Keywords

Fourier transformHankel transformSchwartz spaceGelfand-Shilov spaceWeyl's fractional calculus


Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15)


Related Items

On the range of the Hankel and extended Hankel transforms ⋮ Gelfand-Shilov spaces for the Hankel transform ⋮ Spaces of generalized type \({\mathcal H}_\mu\), spaces of type \(S\) and the Hankel transformation



Cites Work

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  • Equality of the spaces \(S^ \beta_ \alpha\) and \(S_ \alpha \cap S^ \beta\)
  • Analyticity Spaces of Self-Adjoint Operators Subjected to Perturbations with Applications to Hankel Invariant Distribution Spaces
  • Analytic and Entire Vectors for Representations of Lie Groups
  • On Hankel Transformable Spaces and a Cauchy Problem
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