Vector Differential–Difference Operators of Infinite Order in Spaces of Entire Functions of Exponential Type

We study vector differential-difference operators of infinite order in spaces of exponential type entire functions bounded on the real axis. These operators are used for constructing entire solutions to explicit and implicit linear inhomogeneous differential-difference equations in a Banach space.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2014-01, Vol.196 (4), p.515-523
Hauptverfasser: Gefter, S. L., Stulova, T. E.
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container_title Journal of mathematical sciences (New York, N.Y.)
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creator Gefter, S. L.
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description We study vector differential-difference operators of infinite order in spaces of exponential type entire functions bounded on the real axis. These operators are used for constructing entire solutions to explicit and implicit linear inhomogeneous differential-difference equations in a Banach space.
doi_str_mv 10.1007/s10958-014-1672-y
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title Vector Differential–Difference Operators of Infinite Order in Spaces of Entire Functions of Exponential Type
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