Dergi makalesi Açık Erişim
Mustafayev, Heybetkulu; Topal, Hayri
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"affiliation": "Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey",
"name": "Mustafayev, Heybetkulu"
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"affiliation": "Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey",
"name": "Topal, Hayri"
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"description": "Let G be a locally compact abelian group and let L-1 (G) and M(G) be respectively the group algebra and the convolution measure algebra of G. For mu is an element of M(G), let T(mu)f = mu * f be the convolution operator on L-1(G). A measure mu is an element of M(G) is said to be power bounded if sup(n >= 0)parallel to mu(n)parallel to(1) < infinity, where mu(n) denotes the nth convolution power of mu. We study some ergodic properties of the convolution operator T-mu, in the case when mu is power bounded. We also present some results concerning almost everywhere convergence of the sequence {T(mu)(n)f} in L-1 (G).",
"doi": "10.4064/cm8214-6-2020",
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"issue": "2",
"pages": "321-340",
"title": "COLLOQUIUM MATHEMATICUM",
"volume": "165"
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"publication_date": "2021-01-01",
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"title": "ERGODIC PROPERTIES OF CONVOLUTION OPERATORS IN GROUP ALGEBRAS"
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