Geodesic
Some Properties of Hankel Convolution Operators
Canadian mathematical bulletin, Tome 36 (1993) no. 4, pp. 398-406

Voir la notice de l'article provenant de la source Cambridge University Press

Let be the Zemanian space of Hankel transformable generalized functions and let be the space of Hankel convolution operators for . This is the dual of a subspace of for which is also the space of Hankel convolutors. In this paper the elements of are characterized as those in and in that commute with Hankel translations. Moreover, necessary and sufficient conditions on the generalized Hankel transform are established in order that every such that in .
DOI : 10.4153/CMB-1993-054-8
Mots-clés : 46F12, generalized functions, Hankel transformation, Hankel translation, Hankel convolution 
Betancor, J. J. Some Properties of Hankel Convolution Operators. Canadian mathematical bulletin, Tome 36 (1993) no. 4, pp. 398-406. doi: 10.4153/CMB-1993-054-8
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[1] 1. Kelley, J. L., General Topology, D. van Nostrand, Princeton, New Jersey, 1968. Google Scholar

[2] 2. Betancor, J. J. and Marrero, I., Structure and convergence in certain spaces of distributions and the generalized Hankel convolution, Math. Japon, to appear. Google Scholar

[3] 3. Marrero, I. and Betancor, J. J., Hankel convolution of generalized functions, 1992, preprint. Google Scholar

[4] 4. Sznajder, S. and Zielezny, Z., On some properties of convolution operators in K′ and S′, J. Math. Anal. Appl. 65(1978), 543–554. Google Scholar

[5] 5. Zemanian, A. H., Generalized Integral Transformations, Interscience, New York, 1968. Google Scholar

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