12 citations · 12 across the 3 of their papers we have counts for
5 papers
Inhomogeneous linear equation in Rota-Baxter algebra
Gabriel Pietrzkowski
We consider a complete filtered Rota-Baxter algebra of weight over a commutative ring. Finding the unique solution of a non-homogeneous linear algebraic equation in this algebr…
On Expansion of a Solution of General Non-autonomous Polynomial Differential Equation
Gabriel Pietrzkowski
We give a recursive formula for an expansion of a solution of a general non-autonomous polynomial differential equation. The formula is given on the algebraic level with a use of s…
Explicit solutions of the -type Lie-Scheffers system and a general Riccati equation
Gabriel Pietrzkowski
For a general differential system , where generates the simple Lie algebra of type , we compute the explicit solution in t…
On the tensor convolution and the quantum separability problem
Gabriel Pietrzkowski
We consider the problem of separability: decide whether a Hermitian operator on a finite dimensional Hilbert tensor product is separable or entangled. We show that the tensor convo…
Integral representations of separable states
Bronisław Jakubczyk, Gabriel Pietrzkowski
We study a separability problem suggested by mathematical description of bipartite quantum systems. We consider Hermitian 2-forms on the tensor product , where …