Browsing by Subject "Hilbert spaces"
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Item type:Article, Access status: Open Access , Certain group dynamical systems induced by Hecke algebras(2016) Cho, IlwooIn this paper, we study dynamical systems induced by a certain group $\mathfrak{T}_{N}^{K}$ embedded in the Hecke algebra $\mathcal{H}(G_{p})$ induced by the generalized linear group $G_{p} = GL_{2}(\mathbb{Q}_{p})$ over the p-adic number fields $\mathbb{Q}_{p}$ for a fixed prime $p$. We study fundamental properties of such dynamical systems and the corresponding crossed product algebras in terms of free probability on the Hecke algebra $\mathcal{H}(G_{p})$.Item type:Thesis, Access status: Restricted , Zastosowanie własności form kwadratowych i dwuliniowych do opisu podstawowych własności przestrzeni Hilberta(Data obrony: 2010-07-08) Grzegorczyk, Dorota
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