3 citations · 3 across the 3 of their papers we have counts for
5 papers
From zero solutions with partially bounded supports to solvability and Runge approximation for partial differential equations
Tomasz Ciás, Thomas Kalmes
The existence of non-trivial solutions of homogeneous partial differential equations with prescribed support properties plays a fundamental role in the theory of linear partial dif…
Runge type approximation results for spaces of smooth Whitney jets
Tomasz Ciaś, Thomas Kalmes
We prove Runge type approximation results for linear partial differential operators with constant coefficients on spaces of smooth Whitney jets. Among others, we characterize when…
Fréchet algebras with a dominating Hilbert algebra norm
Tomasz Ciaś
Let be the maximal -algebra of unbounded operators on whose domain is the space of rapidly decreasing sequences. This is a noncommuta…
Right inverses for partial differential operators on spaces of Whitney functions
Tomasz Ciaś
For v\in R^n let K be a compact set in R^n containing a suitable smooth surface and such that the intersection {tv+x:t\in R}\cap K is a closed interval or a single point for all x\…
On the algebra of smooth operators
Tomasz Ciaś
Let s be the space of rapidly decreasing sequences. We give the spectral representation of normal elements in the Fréchet algebra L(s',s) of the so-called smooth operators. We also…