Convergence and divergence of Fejér means of Fourier series on one and two-dimensional Walsh and Vilenkin groups | Zendy

György Gát | Zendy

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Convergence and divergence of Fejér means of Fourier series on one and two-dimensional Walsh and Vilenkin groups

Author(s) -

György Gát

Publication year - 2008

Publication title -

facta universitatis - series electronics and energetics

Language(s) - English

Resource type - Journals

eISSN - 2217-5997

pISSN - 0353-3670

DOI - 10.2298/fuee0803291g

Subject(s) - pointwise convergence , mathematics , walsh function , divergence (linguistics) , pointwise , convergence (economics) , fourier series , series (stratigraphy) , pure mathematics , mathematical analysis , computer science , philosophy , paleontology , approx , linguistics , economics , biology , economic growth , operating system

It is a highly celebrated issue in dyadic harmonic analysis the pointwise convergence of the Fejer (or (C, 1)) means of functions on the Walsh and Vilenkin groups both in the point of view of one and two dimensional cases. We give a resume of the very recent developments concerning this matter, propose unsolved problems and throw a glance at the investigation of Vilenkin-like systems too. .

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