SOME CONVERGENCE THEOREMS IN FOURIER ALGEBRAS

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Mustafayev H.

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, cilt.96, sa.3, ss.487-495, 2017 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 96 Sayı: 3
• Basım Tarihi: 2017
• Doi Numarası: 10.1017/s0004972717000351
• Dergi Adı: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.487-495
• Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Let G be a locally compact amenable group and A(G) and B(G) be the Fourier and the Fourier-Stieltjes algebras of G; respectively. For a power bounded element u of B(G), let epsilon(u) : = {g is an element of G : |u(g)| = 1}. We prove some convergence theorems for iterates of multipliers in Fourier algebras.