Geodesic
The n-Dimensional Distributional Hankel Transformation
Canadian journal of mathematics, Tome 27 (1975) no. 2, pp. 423-433

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

The Hankel transformation was extended to certain generalized functions of one dimension [1; 2; 3]. In this paper, we develop the n-dimensional case corresponding to [1]. The procedure in [1] is briefly as follows:A test function space Hμ is constructed on which the μth order Hankel transformation hμ defined by is an automorphism whenever μ ≧ —1/2. The generalized transformation hμ ' is then defined on the dual Hμ ' as the adjoint of hμ through a Parseval relation, i.e. 
Koh, E. L. The n-Dimensional Distributional Hankel Transformation. Canadian journal of mathematics, Tome 27 (1975) no. 2, pp. 423-433. doi: 10.4153/CJM-1975-050-9
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