On the Generalized Hankel and K Transformations
Canadian mathematical bulletin, Tome 12 (1969) no. 6, pp. 733-740
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The K transformation (also called the Meijer transformation) has been extended by Zemanian [1; 2] to a class of generalized functions, For , he defined the K transform of f by (1) In [2, Section 6.6] the following inversion theorem for the K transform of f is proven: (2) in the sense of weak convergence in D'(I). Here, σ is any fixed real number greater than σf, μ is zero or a complex number with positive real part and D'f(I) is the space of Schwartz distributions on I = (0, ∞).
Koh, E. L. On the Generalized Hankel and K Transformations. Canadian mathematical bulletin, Tome 12 (1969) no. 6, pp. 733-740. doi: 10.4153/CMB-1969-094-2
@article{10_4153_CMB_1969_094_2,
author = {Koh, E. L.},
title = {On the {Generalized} {Hankel} and {K} {Transformations}},
journal = {Canadian mathematical bulletin},
pages = {733--740},
year = {1969},
volume = {12},
number = {6},
doi = {10.4153/CMB-1969-094-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-094-2/}
}
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