Geodesic
The Cauchy problem for evolution equations with the Bessel operator of infinite order.~I
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2010), pp. 3-15

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We establish necessary and sufficient conditions under which the Bessel operator of infinite order is bounded in certain spaces. We study properties of the Bessel transformations of distributions from these spaces, those of convolutions, convolutors, and multiplicators.
Mots-clés : Bessel transformation, distributions
Keywords: Bessel operator of infinite order, convolutors, multiplicators. 
@article{IVM_2010_6_a0,
     author = {V. V. Gorodestkii and O. V. Martynyuk},
     title = {The {Cauchy} problem for evolution equations with the {Bessel} operator of infinite {order.~I}},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--15},
     publisher = {mathdoc},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_6_a0/}
}
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V. V. Gorodestkii; O. V. Martynyuk. The Cauchy problem for evolution equations with the Bessel operator of infinite order.~I. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2010), pp. 3-15. http://geodesic.mathdoc.fr/item/IVM_2010_6_a0/