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Weighted Lp-algebras on groups
The space Lp(G), 1 > p < ∞, on a locally compact group G is known to be closed under convolution only if G is compact. However, the weighted spaces Lp(G, w) are Banach algebras with respect toExpand
A duality for Moore groups
We suggest a new generalization of Pontryagin duality from the category of Abelian locally compact groups to a category which includes all Moore groups, i.e. groups whose irreducible representationsExpand
On continuity of measurable group representations and homomorphisms
Let G be a locally compact group, and let U be its unitary representation on a Hilbert space H. Endow the space L(H) of linear bounded operators on H with weak operator topology. We prove that if UExpand
On a class of C*-algebras generated by a countable family of partial isometries
The paper investigates the properties of an operator Tφ on the Hilbert space l2(ℤ), which are induced by the mapping φ of the set ℤ into itself. It is shown if the mapping φ is such that everyExpand
Harmonic analysis of weighted $L^p$-algebras
Let $G$ be a locally compact, compactly generated group of polynomial growth and let $\omega$ be a weight on $G$. Under proper assumptions on the weight $\omega$, the Banach space $L^p(G,\omega)$ isExpand
Density of translates in weighted $L^p$ spaces on locally compact groups
Let $G$ be a locally compact group, and let $1\le p < \infty$. Consider the weighted $L^p$-space $L^p(G,\omega)=\{f:\int|f\omega|^p<\infty\}$, where $\omega:G\to \mathbb R$ is a positive measurableExpand
Density of translates in weighted $${{\varvec{L}}}^{{\varvec{p}}}$$Lp spaces on locally compact groups
Let G be a locally compact group, and let $$1\leqslant p < \infty $$1⩽p<∞. Consider the weighted $$L^p$$Lp-space $$L^p(G,\omega )=\{f:\int |f\omega |^p<\infty \}$$Lp(G,ω)={f:∫|fω|p<∞}, where $$\omegaExpand
Example of a weighted algebra Lpw(G) on an uncountable discrete group
Abstract We construct examples of weighted algebras L p w ( G ) with 1 p ⩽ 2 on uncountable free groups. For p > 2 no weighted algebras exist on these groups. On the other hand, we prove that for anyExpand
Analysis and Evaluation of Sequential Redundancy Identification Algorithms
This thesis has a goal of analysing different methods used for identifying redundant faults in synchronous sequential circuits as a part of reducing the complexity of ATPG algorithms and minimizingExpand
On isomorphisms between weighted -algebras
Let $G$ be a locally compact group and $\omega$ be a continuous weight on $G$. In this paper, we first characterize bicontinuous biseparating algebra isomorphisms between weighted $L^p$-algebras. AsExpand
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