1 Ocak 2021 Dergi makalesi Açık Erişim

Mustafayev, Heybetkulu; Sevli, Hamdullah

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  <dc:creator>Mustafayev, Heybetkulu</dc:creator>
  <dc:creator>Sevli, Hamdullah</dc:creator>
  <dc:date>2021-01-01</dc:date>
  <dc:description>Let G be a locally compact abelian group and let M(G) be the convolution measure algebra of G. A measure mu is an element of M(G) is said to be power bounded if sup(n &gt;= 0) parallel to mu(n)parallel to(1) &lt; infinity, where mu(n) denotes nth convolution power of mu. We show that if mu is an element of M(G) is power bounded and A = [a(n,k)](n,k=0)(infinity) is a strongly regular matrix, then the limit lim(n -&gt;infinity) Sigma(infinity)(k=0) a(n,k) mu(k) exists in the weak* topology of M(G) and is equal to the idempotent measure theta, where (theta) over cap = 1(int)F(mu). Here, (theta) over cap is the Fourier-Stieltjes transform of theta, F-mu :={gamma is an element of Gamma : (mu) over cap(gamma) = 1}, and 1(int) F-mu is the characteristic function of int F-mu. Some applications are also given. (C) 2021 Elsevier Inc. All rights reserved.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/239170</dc:identifier>
  <dc:identifier>oai:aperta.ulakbim.gov.tr:239170</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 500(1)</dc:source>
  <dc:title>Mean ergodic theorems for power bounded measures</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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