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Weighted Lp-algebras on groups

- Y. Kuznetsova
- Mathematics
- 1 July 2006

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 to… Expand

A duality for Moore groups

- Y. Kuznetsova
- Mathematics
- 9 July 2009

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 representations… Expand

On continuity of measurable group representations and homomorphisms

- Y. Kuznetsova
- Mathematics
- 5 October 2010

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 U… Expand

On a class of C*-algebras generated by a countable family of partial isometries

- Y. Kuznetsova
- Mathematics
- 1 December 2010

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 every… Expand

Harmonic analysis of weighted $L^p$-algebras

- Y. Kuznetsova, C. Molitor-Braun
- Mathematics
- 18 March 2011

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 $L^p(G,\omega)$ is… Expand

Density of translates in weighted $L^p$ spaces on locally compact groups

- E. Abakumov, Y. Kuznetsova
- Mathematics
- 20 March 2017

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 measurable… Expand

Density of translates in weighted $${{\varvec{L}}}^{{\varvec{p}}}$$Lp spaces on locally compact groups

- E. Abakumov, Y. Kuznetsova
- Mathematics
- 21 April 2017

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 $$\omega… Expand

Example of a weighted algebra Lpw(G) on an uncountable discrete group

- Y. Kuznetsova
- Mathematics
- 15 May 2009

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 any… Expand

Analysis and Evaluation of Sequential Redundancy Identification Algorithms

- Y. Kuznetsova
- Engineering
- 2011

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 minimizing… Expand

On isomorphisms between weighted
-algebras

- Y. Kuznetsova, S. Zadeh
- Mathematics
- 16 March 2018

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. As… Expand

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