3 citations · 4 across the 5 of their papers we have counts for
5 papers
On Some Problems of Operator Theory and Complex Analysis
Mubariz T. Garayev
In 1955 Kadison \cite{14} asked whether the analogue of the classical Burnside's theorem of the Linear Algebra holds in the infinite dimensional case. We use reproducing kernels me…
Some aspects of number theory related to phase operators
F. Bouzeffour, M. Garayev
We first extend the multiplicativity property of arithmetic functions to the setting of operators on the Fock space. Secondly, we use phase operators to get representation of some…
Supersymmetric Quantum mechanics on the radial lines
F. Bouzeffour, M. Garayev
We investigate a type of Hermite orthogonal polynomials on lines in the plane which have a common point at the origin and endpoints at the roots of unity and we show that t…
Fractional supersymmetry algebra and lacunary Hermite polynomials
F. Bouzeffour, M. Garayev
We consider a realization of fractional supersymmetric of quantum mechanics of order , where the Hamiltonian and supercharges involve reflection operators. It is shown that the…
Duhamel convolution product in the setting of Quantum calculus
F. Bouzeffour, M. T. Garayev
In this paper we introduce the notions of -Duhamel product and -integration operator. We prove that the classical Wiener algebra of all analytic functions on…