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- W2963736984 abstract "In this paper, we introduce the notions of the q-Duhamel product and q-integration operator. We prove that the classical Wiener algebra $$W_+(mathbb {D})$$ of all analytic functions on the unit disc $$mathbb {D}$$ of the complex plane $$mathbb {C}$$ with absolutely convergent Taylor series extended to the boundary is a Banach algebra with respect to the q-Duhamel product. We also describe the cyclic vectors of the q-integration operator on $$W_+(mathbb {D})$$ and characterize its commutant in terms of the q-Duhamel product operators." @default.
- W2963736984 created "2019-07-30" @default.
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- W2963736984 date "2018-04-10" @default.
- W2963736984 modified "2023-09-25" @default.
- W2963736984 title "Duhamel convolution product in the setting of quantum calculus" @default.
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- W2963736984 doi "https://doi.org/10.1007/s11139-018-9994-x" @default.
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