10 papers
On concatenations of two -generalized Lucas numbers
Alex Behakanira Tumwesigye, Mahadi Ddamulira, Prosper Kaggwa
For an integer \( k \geq 2 \), the sequence of \( k \)-generalized Lucas numbers is defined by the recurrence relation \( L_n^{(k)} = L_{n-1}^{(k)} + \cdots + L_{n-k}^{(k)} \) for…
Differential and linear integral operators representing polynomial covariance commutation relations in
Domingos Djinja, Sergei Silvestrov, Alex Behakanira Tumwesigye
Representations of polynomial covariance commutation relations by pairs of linear integral and differential operators are constructed in the space of infinitely continuously differ…
Volterra integral operators and general linear integral operators representing polynomial covariance type commutation relations on spaces
Domingos Djinja, Sergei Silvestrov, Alex Behakanira Tumwesigye
Conditions for linear integral operators on over measure spaces to satisfy the polynomial covariance type commutation relations are described in terms of defining kernels of…
Representations of polynomial covariance type commutation relations by piecewise function multiplication and composition operators
Domingos Djinja, Sergei Silvestrov, Alex Behakanira Tumwesigye
Representations of polynomial covariance type commutation relations are constructed on Banach spaces and . Representations involve operators with…
Convergence of commutator of linear integral operators with separable kernel representing monomial covariance type commutation relations in
Domingos Djinja, Sergei Silvestrov, Alex Behakanira Tumwesigye
Representations by linear integral operators on spaces over measure spaces are investigated for the polynomial covariance type commutation relations and more general two-side…
Multiplication and linear integral operators on spaces representing polynomial covariance type commutation relations
Domingos Djinja, Sergei Silvestrov, Alex Behakanira Tumwesigye
Representations of polynomial covariant type commutation relations by pairs of linear integral operators and multiplication operators on Banach spaces are constructed.
Representations of polynomial covariance type commutation relations by linear integral operators with separable kernels in
Domingos Djinja, Sergei Silvestrov, Alex Behakanira Tumwesigye
Representations of polynomial covariance type commutation relations by linear integral operators on over measures spaces are investigated. Necessary and sufficient conditions…
Centralizers in PBW Extensions
Alex Behakanira Tumwesigye, Johan Richter, Sergei Silvestrov
In this article we give a description for the centralizer of the coefficient ring in the skew PBW extension We give an explicit description in the q…
Commutants in crossed product algebras for piecewise constant functions on the real line
Alex Behakanira Tumwesigye, Johan Richter, Sergei Silvestrov
In this paper we consider commutants in crossed product algebras, for algebras of piece-wise constant functions on the real line acted on by the group of integers . The…
Ore extensions for function algebras
Johan Richter, Sergei Silvestrov, Alex Tumwesigye
In this article we consider the Ore extension Algebra for the algebra of functions with finite support on a countable set. We derive explicit formulas for twisted der…