6 papers
Beurling Spectra of Functions on Locally Compact Abelian Groups
B. Basit, A. J. Pryde
Let be a locally compact abelian topological group. For locally bounded measurable functions we discuss notions of spectra for relative to subalgebras of…
Dimension of spaces of polynomials on abelian topological semigroups
Bolis Basit, A. J. Pryde
In this paper we study (continuous) polynomials , where is an abelian topological semigroup and is a topological vector space. If is a subsemigroup with non-…
Equality of uniform and Carleman spectra for bounded measurable functions
Bolis Basit, Alan J. Pryde
In this paper we study various types of spectra of functions $ϕ:\jj\to X$, where $\jj\in\{\r_+,\r\}$ and is a complex Banach space. We show that uniform spectrum defined in [15…
Polynomial ergodicity and asymptotic behaviour of unbounded solutions of abstract evolution equations
Bolis Basit, A. J. Pryde
In this paper we develop the notion of ergodicity to include functions dominated by a weight . Such functions have polynomial means and include, amongst many others, the -alm…
Comparison of spectra of absolutely regular distributions and applications
Bolis Basit, Alan J. Pryde
We study the reduced Beurling spectra $sp_{\Cal {A},V} (F)$ of functions $F \in L^1_{loc} (\jj,X)$ relative to certain function spaces $\Cal{A}\st L^{\infty}(\jj,X)$ and $V\st L^1…
Spectral characterization of absolutely regular vector-valued distributions
Bolis Basit, Alan J. Pryde
We study the reduced Beurling spectra $sp_{\Cal {A},V} (F)$ of functions $F \in L^1_{loc} (\jj,X)$ relative to certain function spaces $\Cal{A}\st L^{\infty}(\jj,X)$ and $V\st L^1…