Convergence in \(L^p\)-norm of Fourier series on the complete product of quaternion groups with bounded orders

DOI10.1007/s10114-014-3360-8zbMath1296.42017OpenAlexW2034607565MaRDI QIDQ741237

Rodolfo Toledo, György Gát

Publication date: 11 September 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-014-3360-8

zbMATH Keywords

Fourier analysisWalsh-Paley systemcomplete product of quaternion groupsconvergence in normrepresentative product systems

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (1)

Controllability and observability of linear quaternion-valued systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On \(L^p\)-norm convergence of series with respect to product systems
• \(L^ p\)-norm convergence of series in compact, totally disconnected groups
• Mean Convergence of Generalized Walsh-Fourier Series
• Verallgemeinerte Walsh—Fourierreihen. II
• A Remarkable Series of Orthogonal Functions (I)

This page was built for publication: Convergence in \(L^p\)-norm of Fourier series on the complete product of quaternion groups with bounded orders