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21 papers · 1 filter
Symplectic forms invariant under free circle actions on 4--manifolds
Boguslaw Hajduk, Rafal Walczak
Let be a smooth compact manifold with a free circle action generated by a vector field Then for any invariant symplectic form on the contracted form is n…
Second order q-difference equations solvable by factorization method
Alina Dobrogowska, Anatol Odzijewicz
By solving an infinite nonlinear system of -difference equations one constructs a chain of -difference operators. The eigenproblems for the chain are solved and some applicat…
Ergodic properties of the quantum geodesic flow on tori
Slawomir Klimek, Witold Kondracki
We study ergodic averages for a class of pseudodifferential operators on the flat N-dimensional torus with respect to the Schrödinger evolution. The later can be consider a quantiz…
On the Cauchy Problem for Differential Equations in a Banach Space over the Field of p-Adic Numbers. II
Myroslav L. Gorbachuk, Valentyna I. Gorbachuk
For an operator-differential equation of the form , where is a closed linear operator on a Banach space over the the field of -adic numbers, the necessar…
On automorphisms of the symmetrized bidisc
Marek Jarnicki, Peter Pflug
We characterize the group for the symmetrized bidisc .
Borel-fixed ideals and reduction number
Le Tuan Hoa, Ngo Viet Trung
The aim of this paper is to study the relationship between reduction numbers and Borel-fixed ideals in all characteristics. By definition, Borel-fixed ideals are closed under certa…