A representation for linear continuous operators which act in the spaces of polynomials and commute with operators generated by generalized shifts is obtained.
[1] Bourbaki N. Functions of a real variable. - M.: Nauka, 1965. - 424 p.
[2] Podporin V.P. On the problem of representation of linear operators in the form of differential operators of infinite order / / Siberian Math. J. - 1977. - 18, № 6. - P. 1422-1425.
[3] Gromov V.P. On the completeness of systems of analytic functions in a domain / / Mat. sb. - 1963. - V.62, № 3. - P. 320-334.
[4] Lynchuk Y.S. Commutant of the generalized shift operator // Nauk. visn. Chernivtsi un-tu. - 1999. - Issue 46. Mathematics. - P. 72 - 75.
[5] Lynchuk Y.S. Commutants of some classes of operators related to shift operators. // UMZh. - 2007. - T. , № 4. - C. - .
[6] Korobeynik Yu.F. Shift operators on numerical families. - Rostov-on-Don: Rostov University Publishing House, 1983. - 156 p.
[7] Podporin V.P. On solutions of the operator equation $P_1(D)A = AP_2(D)$ in some classes of linear operators / / Reports of the USSR Academy of Sciences. - 1978. - V.240, № 1. - P. 28-31.
[8] Lynchuk Yu.S. On the equivalence of differential operators of infinite order // Nauk. Bulletin of Chernivtsi University. Issue 239. Mathematics. 3b. scientific works. - Chernivtsi: Ruta, 2005. - pp. 89 - 91.
[9] Lynchuk Yu.S. Some properties of generalized shift operators // Proceedings of the IV All-Ukrainian scientific conference "Nonlinear problems of analysis". Abstracts of reports (September 10-12). - Ivano-Frankivsk, 2008. - p. 53.
- ACS Style
- Linchuk , Y.S. Some commutation properties of generalized shift operators. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Linchuk YS. Some commutation properties of generalized shift operators. Bukovinian Mathematical Journal. 2018; 1(454).
- Chicago/Turabian Style
- Yurii Stepanovych Linchuk . 2018. "Some commutation properties of generalized shift operators". Bukovinian Mathematical Journal. 1 no. 454.