Multiplicative convolution operator in the space of analytic functions on a Banach algebra
1 Department of Mathematical and Functional Analysis, Vasyl Stefanyk Precarpathian National University, Ivano-Frankivsk, 76018, Ukraine
2 Vasyl Stefanyk Precarpathian National University, Ivano-Frankivsk, 76000, Ukraine
Keywords:
multiplicative convolution operator, a Banach algebra
Abstract
We consider an operator of multuplicative convolution on the set of characters of bounded type entire functions on a Banach algebra $A$ and its symmetric tensor power. We obtaine some conclusion about the distributive rule with respect to the additive convolution. We are investigating special cases of the representation of this operator.
References
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Cite
- ACS Style
- Zagorodniuk, A.V.; Taras, O.G. Multiplicative convolution operator in the space of analytic functions on a Banach algebra. Bukovinian Mathematical Journal. 2016, 2
- AMA Style
- Zagorodniuk AV, Taras OG. Multiplicative convolution operator in the space of analytic functions on a Banach algebra. Bukovinian Mathematical Journal. 2016; 2(2-3).
- Chicago/Turabian Style
- Andriy Vasyliovych Zagorodniuk, Olena Gennadiivna Taras. 2016. "Multiplicative convolution operator in the space of analytic functions on a Banach algebra". Bukovinian Mathematical Journal. 2 no. 2-3.
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