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A Bohr-like compactification and summability of Fourier series
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Chuanyi Zhang
Published/Copyright:
March 12, 2009
Abstract
In this paper the strong limit power functions are extended from ℝ+ to ℝ. A group Q is found whose dual group 
is shown to be a Bohr-like compactification of ℝ. Some characterizations of the compactification are established. The compactification is applied to investigate properties of strong limit power functions. The normality of the functions is proven. A converse problem is investigated. The summability of the Fourier series is set up.
Received: 2007-10-29
Revised: 2007-12-16
Published Online: 2009-03-12
Published in Print: 2009-March
© de Gruyter 2009
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Articles in the same Issue
- Homotopy theory of small diagrams over large categories
- A classification of transitive ovoids, spreads, and m-systems of polar spaces
- Frobenius complements of exponent dividing 2m · 9
- Asymptotics of class numbers for progressions and for fundamental discriminants
- A difference characterization of Besov and Triebel-Lizorkin spaces on RD-spaces
- A topological version of the Bergman property
- A unified treatment of certain majorization results on eigenvalues and singular values of matrices
- Finite index subgroups of conjugacy separable groups
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