10 citations · 10 across the 7 of their papers we have counts for
6 papers · 1 filter
Generalized vector valued almost periodic and ergodic distributions
Bolis Basit, Hans Günzler
For $\Cal A\subset L^1_{loc}(\Bbb J,X)$ let $\Cal M\Cal A$ consist of all with $ M_h f (\cdot):=\frac {1}{h}\int_{0}^{h}f(\cdot +s)\,ds \in \Cal A$ for all .…
Heat equation for weighted Banach space valued function spaces
Bolis Basit, Hans Günzler
We study the homogeneous equation (*) , , , where is a weighted Banach space, , $x\in \r^n$ with , is the Laplac…
Existence of bounded uniformly continuous mild solutions on of evolution equations and their asymptotic behaviour
Bolis Basit, Hans Günzler
We prove that has on a mild solution (that is bounded and uniformly continuous), where is the generator of a -semigroup on…
Existence of bounded uniformly continuous mild solutions on of evolution equations and some applications
Bolis Basit, Hans Günzler
We prove that there is for which (*), has on $\r$ a mild solution (that is bounded and uniformly continu…
Eberlein almost periodic functions that are not pseudo almost periodic
Bolis Basit, Hans Günzler
We construct Eberlein almost periodic functions so that is not ergodic and thus not Eberlein almost periodic and is Eberlein almost p…
Spectral criteria for solutions of evolution equations and comments on reduced spectra
Bolis Basit, Hans Günzler
We revisit the notion of reduced spectra $sp_{\Cal {F}} (ϕ)$ for bounded measurable functions , ${\Cal {F}}\subset L^1_{loc}(J,\Bbb{X})$. We show that…