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The link between the kernel method and the method of adjoints for the generalized index $$_2F_1$$- transform. (English) Zbl 0896.46028
The authors show that the two notions of the generalized index $$_2F_1$$-transform given respectively in the previous papers by N. Hayek and B. J. González [Comment. Math. Univ. Carolin. 34, No. 4, 657-671 (1993; Zbl 0793.46019) and Math. Nachr. 165, 15-24 (1994; Zbl 0826.46032)] by the kernel method and by the method of adjoints agree for distributions with compact support.
Reviewer: M.Tvrdý (Praha)
##### MSC:
 46F12 Integral transforms in distribution spaces 44A15 Special integral transforms (Legendre, Hilbert, etc.)
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