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Operator calculus for one class of generalized functions
Solomko Andriy Vasyliovych 1
1 Department of Mathematical and Functional Analysis, Vasyl Stefanyk Precarpathian National University, Ivano-Frankivsk, 76018, Ukraine
Keywords: operator calculus, generalized functions
Abstract

The operator calculus for $n$-parametric $(C_0)$-groups of operators in convolution algebra of distributions with compact supports is constructed. An application of such calculus to multiplication operator by an independent variable and to operator of differentiation is considered.

References

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Cite
ACS Style
Solomko, A.V. Operator calculus for one class of generalized functions. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Solomko AV. Operator calculus for one class of generalized functions. Bukovinian Mathematical Journal. 2018; 1(269).
Chicago/Turabian Style
Andriy Vasyliovych Solomko. 2018. "Operator calculus for one class of generalized functions". Bukovinian Mathematical Journal. 1 no. 269.
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