We investigate the topological structure of generalized S type spaces, consisting of the pair functions, main operations in such spaces, properties of Bessel transformations of test and generalized functions, convolutions, convolators and multiplicators.

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

Gorbachuk V.I., Gorbachuk M.L. Boundary value problems for differential operator equations. - Kyiv: Nauk. dumka, 1984. - 284 p.

Gorbachuk M.L., Gorbachuk V.I. Boundary value problems for operator diferential equations. – Dordrecht (Boston) London: Kluwer, 1991. – 374 p.

Kashpirovsky A.I. Boundary values ​​of solutions of some classes of homogeneous differential equations in Hilbert space: Autoref. thesis ... candidate physics and mathematics of science - Kyiv, 1981. - 18 p.

Gorbachuk M.L., Dudnikov P.I. On the initial data of the Cauchy problem for parabolic equations with infinitely differentiable solutions // Dokl. Academy of Sciences of the Ukrainian SSR. Ser. AND. – 1981. – No. 4. – S. 9–11.

Horodetsky V.V. Boundary properties of smooth solutions of equations of the parabolic type in a layer. – Chernivtsi: Ruta, 1998. – 225 p.

Horodetsky V.V. Sets of initial values ​​of smooth solutions of differential operator equations of the parabolic type. – Chernivtsi: Ruta, 1998. – 219 p.

Horodetsky V.V. Evolutionary equations in countably-normed spaces of infinitely differentiable functions. – Chernivtsi: Ruta, 2008. – 400 p.

Horodetsky V.V., Martyniuk O.V. Gelfond–Leontiev generalized differentiation operators in S-type spaces //Sib. mate. journal - 2013. - T. 54, No. 3. - p. 569–584.

Gurevich B.L. Some spaces of basic and generalized functions and the Cauchy problem for finite-difference schemes // Dokl. Academy of Sciences of the USSR. - 1954. - T. 99, No. 6. - p. 893–896.

Gelfand I.M., Shilov G.E. Some questions of the theory of differential equations. – M.: Fizmatgiz, 1958. – 274 p.

Gotynchan T.I., Atamanyuk R.M. Different forms of definition of spaces of type W // Naukovyi visnik Chernivtsi University: Collection of Scientific Proceedings, Issue 111. Mathematics. – Chernivtsi: Ruta, 2001. – P. 21–26.

Gorodetsky V.V., Petryshyn R.I., Todoriko T.S. Nonlocal multipoint time problem for one class of equations with partial derivatives of infinite order//Nonlinear oscillations.–2015. – Vol. 18, No. 2. – P. 176–191.

Zhytomyrsky Ya.I. Cauchy's problem for systems of linear partial differential equations with the Bessel differential operator // Mat. Sat. - 1955. - T. 36, No. 2. - p. 299–310.

Korn T., Korn G. Handbook of mathematics. - M.: Nauka, 1977. - 832 p.

Hotynchan T.I. Fourier–Bessel transformation of the set Sm2k,2q // Mizhnar. of science conf. im. V.Ya. Skorobogatka, August 25–28, 2015. Drohobych/Thesis of reports. – Lviv: Lviv Polytechnic, 2015. – S. 58.

B.I. Levitan, Decomposition of Bessel functions and Fourier integrals//Uspekhimat.nauk. - 1951. - T. 6, issue 2. - S. 102–143.

Gelfand I.M., Shilov G.E. Fourier transform of rapidly growing functions and questions of uniqueness of the Cauchy problem // Uspekhi mat. of science - 1953. - T. 8, issue 6. - S. 3–54.