The properties of Fourier transform of generalized functions of infinite order of type $C'$,  convolutions, convolutors and multiplicators and studied.

[1] Gorodetskyi V.V., Kolisnyk R.S. On one generalization of spaces of type $W$ // Scientific Bulletin of Chernivtsi University: 3b. scientific pr. Issue 134. Mathematics. - Chernivtsi: Ruta, 2002.- P.30-37.

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

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

[4] Gelfand I.M., Shilov G.E.R. Fourier transforms of rapidly growing functions and questions of uniqueness of the Cauchy problem / / Uspekhi mat. sciences. 1953. - 8, issue. 6. P.3-54.

[5] Gorodetskyi V.V., Kolisnyk R.S. Fourier transform and differentiation operators of infinite order in spaces of type $C$ // Scientific Bulletin of Chernivtsi University: 3b. scientific pr. Issue 160. Mathematics. - Chernivtsi: Ruta, 2003. - P.30-38.