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Pointwise applicability of integral operators of infinite order to some classes of entire functions
Linchuk Stepan Stepanovich 1
1 Chernivtsi National University named after Yuriy Fedkovych, Chernivtsi, 58002, Ukraine
Keywords: рointwise applicability, integral operators of infinite order
Abstract

Criterias of pointwise applicability of integral operators of an infinite order with constant factors to the space $[ρ, σ]$ are researched.

References

[1] Korobeynik Yu. F. Shift operators on numerical families. - Rostov: Rostov University Publishing House, 1983. - 154 p.

[2] Kiryutenko Yu.A. Integration operators and related operators of infinite order. - Dis. Cand. Phys.-Math. Sciences. - Rostov n / D. - 1977. - 105 p.

[3] Linchuk S.S. On the applicability of differential and integral operators of infinite order. // Chernivtsi State University. - 1982. - Deposited in VINITI 6.04.82. - 25 p.

[4] Linchuk S.S. On the applicability of integral operators of infinite order // International conference modern problems and new trends in probability theory. Abstract II.- 2005.- C. 12.

[5] Leontiev A.F. Generalization of exponential series. - M.: Nauka, 1981.-320 p.

Cite
ACS Style
Linchuk, S.S. Pointwise applicability of integral operators of infinite order to some classes of entire functions. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Linchuk SS. Pointwise applicability of integral operators of infinite order to some classes of entire functions. Bukovinian Mathematical Journal. 2018; 1(349).
Chicago/Turabian Style
Stepan Stepanovich Linchuk. 2018. "Pointwise applicability of integral operators of infinite order to some classes of entire functions". Bukovinian Mathematical Journal. 1 no. 349.
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