Yulia Kuznetsova

activity

20072025

L^{p}

-algebras

16 citations · 40 across the 16 of their papers we have counts for

collaborators

16 papers

math.FA2025

On the Jacobs-de Leeuw-Glicksberg decomposition for representations of semigroups

Micky Barthmann, Sohail Farhangi, Yulia Kuznetsova

We develop a systematic study of the Jacobs-de Leeuw-Glicksberg decomposition for JdLG-admissible semigroup representations on Banach spaces, with emphasis on its structural, ergod…

math.AP2025

Shifted wave equation on noncompact symmetric spaces

Yulia Kuznetsova, Zhipeng Song

Let $G$ be a semisimple, connected, and noncompact Lie group with a finite center. We carry out a detailed analysis of oscillating integrals involving the Harish-Chandra $c$ -functi…

math.OA2022

Invariant means on subspaces of quantum weakly almost periodic functionals

Yulia Kuznetsova

Let $M$ be a Hopf--von Neuman algebra with the predual $M_{*}$ and $W A P (M)$ the subspace in $M$ composed of weakly almost periodic functionals on $M_{*}$ . The main example of such an a…

math.FA2021

Norms of certain functions of a distinguished Laplacian on the $a x + b$ groups

Rauan Akylzhanov, Yulia Kuznetsova, Michael Ruzhansky +1

The aim of this paper is to find new estimates for the norms of functions of the (minus) Laplace operator $L$ on the ` $a x + b$ ' groups. The central part is devoted to spectrally…

math.FA2020★ 4 cited

$Γ$ -supercyclicity of families of translates in weighted $L^{p}$ -spaces on locally compact groups

Arafat Abbar, Yulia Kuznetsova

Let $ω$ be a weight function defined on a locally compact group $G$ , $1 \leq p < + \infty$ , $S \subset G$ and let us assume that for any $s \in S$ , the left translation operator $T_{s}$ is…

math.OA2018

Quantum semigroups: A survey

Yulia Kuznetsova

Notes of a 8h course given at the University of Göteborg during an Erasmus exchange visit, June 11-15, 2018. It is intended for PhD and graduate students familiar with $C^{*}$ -algebr…

math.FA2018★ 2 cited

On isomorphisms between weighted $L^{p}$ -algebras

Yulia Kuznetsova, Safoura Zadeh

Let $G$ be a locally compact group and $ω$ be a continuous weight on $G$ . In this paper, we first characterize bicontinuous biseparating algebra isomorphisms between weighted $L^{p}$ …

math.FA2017★ 2 cited

Homomorphisms with small bound between Fourier algebras

Yulia Kuznetsova, Jean Roydor

Inspired by Kalton and Wood's work on group algebras, we describe almost completely contractive algebra homomorphisms from Fourier algebras into Fourier-Stieltjes algebras (endowed…

math.OA2016★ 2 cited

Duals of quantum semigroups with involution

Yulia N. Kuznetsova

We define a category $Q S I$ of quantum semigroups with involution which carries a corepresentation-based duality map $M \mapsto M$ . Objects in $Q S I$ are…

math.OA2015

Quantum semigroups generated by locally compact semigroups

Marat A. Aukhadiev, Yulia N. Kuznetsova

Let $S$ be a subsemigroup of a second countable locally compact group $G$ , such that $S^{- 1} S = G$ . We consider the $C^{*}$ -algebra $C_{δ}^{*} (S)$ generated by the operators of translation…

math.OA2012★ 5 cited

A duality of locally compact groups which does not involve the Haar measure

Yulia Kuznetsova

We present a simple and intuitive framework for duality of locally compacts groups, which is not based on the Haar measure. This is a map, functorial on a non-degenerate subcategor…

math.FA2011★ 16 cited

Harmonic analysis of weighted $L^{p}$ -algebras

Yulia N. Kuznetsova, C. Molitor-Braun

Let $G$ be a locally compact, compactly generated group of polynomial growth and let $ω$ be a weight on $G$ . Under proper assumptions on the weight $ω$ , the Banach space $L^{p} (G, ω)$ …

math.FA2010★ 1 cited

On continuity of measurable group representations and homomorphisms

Yulia Kuznetsova

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. W…

math.FA2009

A duality for Moore groups

Yulia Kuznetsova

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 irreducib…

math.FA2008★ 6 cited

Constructions of regular algebras $L_{p}^{w} (G)$

Yulia Kuznetsova

Criterion of (Shilov) regularity for weighted algebras $L_{1}^{w} (G)$ on a locally compact abelian group $G$ is known by works of Beurling (1949) and Domar (1956). In the present paper…

math.FA2007★ 2 cited

Invariant weighted algebras $L_{p}^{w} (G)$

Yulia N. Kuznetsova

The paper deals with weighted spaces $L_{p}^{w} (G)$ on a locally compact group G. If w is a positive measurable function on G then we define the space $L_{p}^{w} (G)$ , $p \geq 1$ , as $L_p^w(G)…

On the Jacobs-de Leeuw-Glicksberg decomposition for representations of semigroups

Shifted wave equation on noncompact symmetric spaces

Invariant means on subspaces of quantum weakly almost periodic functionals

Norms of certain functions of a distinguished Laplacian on the ax+b groups

Γ-supercyclicity of families of translates in weighted Lp-spaces on locally compact groups

Quantum semigroups: A survey

On isomorphisms between weighted Lp-algebras

Homomorphisms with small bound between Fourier algebras

Duals of quantum semigroups with involution

Quantum semigroups generated by locally compact semigroups

A duality of locally compact groups which does not involve the Haar measure

Harmonic analysis of weighted Lp-algebras

On continuity of measurable group representations and homomorphisms

A duality for Moore groups

Constructions of regular algebras Lpw​(G)

Invariant weighted algebras Lpw​(G)

Norms of certain functions of a distinguished Laplacian on the $a x + b$ groups

$Γ$ -supercyclicity of families of translates in weighted $L^{p}$ -spaces on locally compact groups

On isomorphisms between weighted $L^{p}$ -algebras

Harmonic analysis of weighted $L^{p}$ -algebras

Constructions of regular algebras $L_{p}^{w} (G)$

Invariant weighted algebras $L_{p}^{w} (G)$