17 citations · 32 across the 4 of their papers we have counts for
5 papers
Banach Poisson-Lie group structure on
Alice Barbora Tumpach, Tomasz Goliński
We construct a Banach Poisson-Lie group structure on the unitary group of a separable complex Hilbert space.
Factorization method on time scales
Tomasz Goliński
We present an approach to the factorization method for second order difference equations on time scales. We construct Hilbert spaces of functions on the time scale and show how to…
Hierarchy of Hamilton equations on Banach Lie-Poisson spaces related to restricted Grassmannian
Tomasz Golinski, Anatol Odzijewicz
Using the Magri method one defines an involutive family of Hamiltonians on Banach Lie-Poisson space iR+UL_res^1 (which contains the restricted Grassmannian as a symplectic leaf) an…
sl(2,R) symmetry and solvable multiboson systems
Tomasz Golinski, Maciej Horowski, Anatol Odzijewicz +1
The one-mode and the two-mode multiboson systems with sl(2,R) symmetry are investigated.Hamiltonians of these systems are integrated using the theory of orthogonal polynomials. The…
Factorization method for second order functional equations
Tomasz Golinski, Anatol Odzijewicz
We apply general difference calculus in order to obtain solutions to the functional equations of the second order. We show that factorization method can be successfully applied to…