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Riesz–McNaughton functions and Riesz MV-algebras of nonlinear functions
We focus on Riesz MV-algebras, which are MV-algebras equipped with a multiplication by numbers in the real interval . We consider for every integer n the Riesz MV-algebra of all continuous functions from the n-th power of to and the Riesz MV ...
Gaetano Vitale +2 more
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The Riesz measure of $$G(\cdot )$$-superharmonic functions
Rendiconti del Circolo Matematico di Palermo Series 2zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hicham Eddaoudi, Allami Benyaiche
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Riesz Products As Spectral Measures
1998In this chapter we will discuss the spectral theory of rank one automorphisms. This is intimately related to the notion of Riesz product. We will define a class of measures on S1 called Riesz product and show that such measures appear as maximal spectral types of certain towers over adding machine.
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Singular Measures and Riesz Products
Journal of the London Mathematical Society, 1982Modica, Luciano, Mortola, Stefano
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Most Riesz Product Measures are L p -Improving
Proceedings of the American Mathematical Society, 1986Let G be an infinite compact abelian group with dual \(\Gamma\). A Borel measure \(\mu\) defined on G is called \(L^ p\)-improving if, given \(p>1\), there is a \(q=q(p,\mu)>p\) and a \(K=K(p,q,\mu)>0\) such that \(\mu\) satisfies \(\| \mu *f\|_ q\leq K \| f\|_ p\) for each \(f\in L^ p(G)\).
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The Egoroff theorem for non-additive measures in Riesz spaces
Fuzzy Sets and Systems, 2006For a \(\sigma\)-algebra \(\mathcal{F}\) on a set \(X\) and a Riesz space \(V\), an increasing mapping \(\mu: \mathcal{F} \to V\), with \( \mu(\emptyset) =0\) is called a non-additive measure. \(\mu\) is called continuous from below if \( A_{n} \downarrow A \) implies \(\mu( A_{n}) \downarrow \mu( A)\), and continuous from above if \( A_{n} \uparrow A \
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Convergence theorems for measures with values in Riesz spaces.
Kybernetika, 2002Summary: In some recent papers, results of uniform additivity have been obtained for convergent sequences of measures with values in \(l\)-groups. Here a survey of these results and some of their applications are presented, together with a convergence theorem involving Lebesgue decompositions.
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Bessel-Riesz Operators on Lebesgue Spaces with Lebesgue Measures
Malaysian Journal of Mathematical SciencesThis study investigates a class of mathematical operators known as the Bessel-Riesz operators, defined in Euclidean space Rn, given by, Tμ,νf(z) =Z Rn Kμ,ν (|z − w|)f(w)dν(w), for z ∈ Rn. (1) Here, Kμ,ν is called the Bessel-Riesz kernel. It can be expressed as a multiple of the Bessel kernel Jν and the Riesz kernel Kμ.
S. Mehmood +3 more
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Extension and factorization of Riesz n-morphisms on pre-Riesz spaces
Journal of Mathematical Analysis and Applications, 2022Zalina Kusraeva
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On Riesz mean of complex uncertain sequences
Journal of Mathematical Analysis and Applications, 2021Santanu Roy +2 more
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