activity
20112021
most citedUniform structures on differential spaces

5 citations · 8 across the 7 of their papers we have counts for

collaborators

7 papers

math.FA2021

Reproducing Kernel Hilbert Space Associated with a Unitary Representation of a Groupoid

Monika Drewnik, Tomasz Miller, Zbigniew Pasternak-Winiarski

The aim of the paper is to create a link between the theory of reproducing kernel Hilbert spaces (RKHS) and the notion of a unitary representation of a group or of a groupoid. More…

math.CV2016★ 2 cited

Weighted generalization of the Ramadanov theorem and further considerations

Zbigniew Pasternak-Winiarski, Paweł M. Wójcicki

We study the limit behavior of weighted Bergman kernels on a sequence of domains in a complex space , and show that under some conditions on domains and weights, weig…

math.PR2013

Zeros of densities and decomposition problem for multidimensional entire characteristic functions of order 2

Monika Maj, Zbigniew Pasternak-Winiarski

We consider the entire characteristic functions of order 2 and we prove some decomposition theorems in a multidimensional case. We show that the lack of zeros of the density functi…

math.DG2012

Integration on differential spaces

Diana Dziewa-Dawidczyk, Zbigniew Pasternak-Winiarski

The generalization of the n-dimensional cube, an n-dimensional chain, the exterior derivative and the integral of a differential n-form on it are introduced and investigated. The a…

math.DG2011

On differential completions and compactifications of a differential space

Diana Dziewa-Dawidczyk, Zbigniew Pasternak-Winiarski

Differential completions and compactifications of differential spaces are introduced and investigated. The existence of the maximal differential completion and the maximal differen…

math.DG2011★ 1 cited

On real-valued homomorphisms in countably generated differential structures

Michał Jan Cukrowski, Zbigniew Pasternak-Winiarski, Wiesław Sasin

Real valued homomorphisms on the algebra of smooth functions on a differential space are described. The concept of generators of this algebra is emphasized in this description.