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Bessel transform of one class of generalized distribution-type functions
Lenyuk Oleg Mykhailovych 1
1 Department of Differential Equations, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: Bessel transform, generalized functions
Abstract

There are investigated the properties of the Bessel transform of curtalments, curtalmenters and multiplicators of one class of generalized functions of distribution type.

References

[1] Drin S.S., Drin I.I. Fourier-Bessel transform of spaces of type $S$ and $S'$ // Scientific Bulletin of Chernivtsi University: 3b. scientific works. Issue 160. Mathematics. - Chernivtsi: Ruta, 2003. - P. 50 - 59.

[2] Gorodetsky V.V., Martynyuk O.V. Bessel operators of infinite order and their applications // Reports of the National Academy of Sciences of Ukraine. - 2003. - N 6. - P. 7 - 12.

[3] Gorodetsky V.V., Drin S.S. Fourier-Bessel transform of spaces of type $С$ and $С'$ // Reports of the National Academy of Sciences of Ukraine. - 2004. - N 8. - P. 19 - 24.

[4] Gorodetsky V.V. Boundary properties of smooth solutions of parabolic-type equations in a layer. - Chernivtsi: Ruta, 1998. - 225 p.

[5] Gorodetsky V.V., Lenyuk O.M. Fourier-Bessel transform of one class of infinitely differentiable functions / / Boundary-value problems for differential equations: Zb. scientific works. - Chernivtsi: Prut, 2006. Issue 15. - P. 51 - 66.

[6] Levitan B.I. Expansion in Bessel functions in Fourier series and integrals / / Uspekhi mat. sciences. - 1951. - V. 6, issue. - P. 102 - 143.

[7] Zhitomirsky Ya. I. The Cauchy problem for systems of linear partial differential equations with a Bessel differential operator // Matem. sb. - 1955. - V. 36, N 2. - P. 299-310.

[8] Gelfand I.M., Shilov G.E. Spaces of basic and generalized functions. - M.: Fizmatgiz, 1958. - 307 p.

Cite
ACS Style
Lenyuk, O.M. Bessel transform of one class of generalized distribution-type functions. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Lenyuk OM. Bessel transform of one class of generalized distribution-type functions. Bukovinian Mathematical Journal. 2018; 1(336).
Chicago/Turabian Style
Oleg Mykhailovych Lenyuk. 2018. "Bessel transform of one class of generalized distribution-type functions". Bukovinian Mathematical Journal. 1 no. 336.
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