Fourier series of local Lipschitz functions on zero-dimensional groups

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1988 Australia, Germany English Publisher:Springer Science and Business Media LLCJournal:Mathematische Zeitschrift, volume 198, pages 401-404 (issn: 0025-5874, eissn: 1432-1823,

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Authors: Bloom, W.R.;

doi: 10.1007/bf01184673

Fourier series of local Lipschitz functions on zero-dimensional groups

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Abstract

The author gives the analogue of the Bernstein-Szász theorems for n- local Lipschitz functions. Another theorem shows the exactness of the results by \textit{J. R. Patadia}, \textit{J. H. Williamson} [Q. J. Math., Oxf. II. Ser. 37, 81-93 (1986; Zbl 0607.43004)].

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Australia, Germany

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DigiZeitschriften
Germany
Murdoch University
Australia

Keywords

510.mathematics, Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups, Bernstein-Szász theorems, n-local Lipschitz functions, \(L^p\)-spaces and other function spaces on groups, semigroups, etc., Article

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