A simple proof of the divergence of Fourier series on compact connected semisimple Lie groups

DOI10.1007/BF02844761zbMath0722.43007WikidataQ115391466 ScholiaQ115391466MaRDI QIDQ756069

Giancarlo Travaglini

Publication date: 1990

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

Fourier seriesdivergencecompact connected semisimple Lie groups

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Analysis on other specific Lie groups (43A80) Convergence of Fourier series and of inverse transforms (43A50)

Cites Work

• Unnamed Item
• On the algebra of absolutely convergent disk polynomial series
• A Cohen type inequality for ultraspherical series
• Norms of zonal spherical functions and Fourier series on compact symmetric spaces
• Norms of characters and Fourier series on compact Lie groups
• A Cohen-type inequality for Jacobi expansions and divergence of Fourier series on compact symmetric spaces
• Cohen Type Inequalities for Jacobi, Laguerre and Hermite Expansions
• A Cohen Type Inequality for Compact Lie Groups
• Lattice Points and Lie Groups. I

This page was built for publication: A simple proof of the divergence of Fourier series on compact connected semisimple Lie groups