1 Ocak 2021 Dergi makalesi Açık Erişim

Mustafayev, Heybetkulu; Topal, Hayri

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    <subfield code="a">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 &amp;gt;= 0)parallel to mu(n)parallel to(1) &amp;lt; 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).</subfield>
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    <subfield code="a">ERGODIC PROPERTIES OF CONVOLUTION OPERATORS IN GROUP ALGEBRAS</subfield>
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