Compact Sets of Divergence for Continuous Functions on a Vilenkin Group

DOI10.2307/2046197zbMath0655.43004OpenAlexW4229965355MaRDI QIDQ3802037

David C. Harris

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2046197

zbMATH Keywords

Vilenkin grouptrigonometric Fourier seriesset of divergenceclosed subsets of Haar measure

Mathematics Subject Classification ID

Harmonic analysis on specific compact groups (43A75) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Analysis on specific locally compact and other abelian groups (43A70) Convergence of Fourier series and of inverse transforms (43A50)

Related Items (2)

An analogy of the Carleson-Hunt theorem with respect to Vilenkin systems ⋮ On the divergence of Walsh-Fejér means of bounded functions on sets of measure zero

Cites Work

• Unnamed Item
• Recent developments in the theory of Walsh series
• Almost Everywhere Convergence of Vilenkin-Fourier Series
• On a class of complete orthonormal systems

This page was built for publication: Compact Sets of Divergence for Continuous Functions on a Vilenkin Group