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January 3, 2005 POINTWISE CONVERGENCE OF NONCONVENTIONAL AVERAGES
 

Summary: January 3, 2005
POINTWISE CONVERGENCE OF NONCONVENTIONAL AVERAGES
BY I. ASSANI
Abstract. We answer a question of H. Furstenberg on the pointwise convergence of the
averages
1
N
NX
n=1
Un
(f Rn
(g)),
where U and R are positive operators. We also study the pointwise convergence of the
averages
1
N
NX
n=1
f(Sn
x)g(Rn

  

Source: Assani, Idris - Department of Mathematics, University of North Carolina at Chapel Hill

 

Collections: Mathematics