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Almost everywhere convergence of a subsequence of logarithmic means of Fourier series on the group of 2-adic integers
-
István Blahota
Published/Copyright:
September 18, 2012
Abstract.
In this paper we prove the almost everywhere convergence of a special subsequence of the logarithmic means of integrable functions,
for every 
, where
and I is the group of 2-adic integers. We suppose that
It proves that 
a.e. as 
for every , too.
Keywords: Character system; group of 2-adic integers; Fourier series; a.e. convergence; logarithmic means
Received: 2011-01-28
Revised: 2012-05-02
Published Online: 2012-09-18
Published in Print: 2012-09-01
© 2012 by Walter de Gruyter Berlin Boston
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Keywords for this article
Character system;
group of 2-adic integers;
Fourier series;
a.e. convergence;
logarithmic means
Articles in the same Issue
- Masthead
- The Plemelj–Privalov theorem in variable exponent Clifford analysis
- Almost everywhere convergence of a subsequence of logarithmic means of Fourier series on the group of 2-adic integers
- Identities and generating functions on Chebyshev polynomials
- Left annihilators of power values of commutators with generalized derivations
- On various classes of bitopological spaces
- On P-torsion modules over a pullback of two Dedekind domains
- A remark on a polynomial matrix factorization theorem
- Convergence of double Fourier series and generalized Λ-variation
- On monoids of monotone injective partial selfmaps of integers with cofinite domains and images
- On the boundedness of product kernel operators with measures
- A new class of generalized Hermite–Bernoulli polynomials
- Global nonexistence and stability of solutions of inverse problems for a class of Petrovsky systems
- Comment on the sums
