A Cohen Type Inequality for Compact Lie Groups

DOI10.2307/2042186zbMath0394.43006OpenAlexW4238965432MaRDI QIDQ4176504

Paolo M. Soardi, Saverio Giulini, Giancarlo Travaglini

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2042186

zbMATH Keywords

Cohen Type Inequality for Compact Lie GroupsDivergence of Fourier Series

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Summability methods on groups, semigroups, etc. (43A55) Convergence of Fourier series and of inverse transforms (43A50)

Related Items (13)

On orthogonal expansions with respect to the generalized Jacobi weight ⋮ The Translation Invariant Uniform Approximation Property for Compact Groups ⋮ Estimates from below for Lebesgue constants of Fourier series on compact Lie groups ⋮ Unbounded Lebesgue constants on compact groups ⋮ Discrete Laguerre-Sobolev expansions: a Cohen type inequality ⋮ A Cohen type inequality for Fourier expansions of orthogonal polynomials with a nondiscrete Jacobi-Sobolev inner product ⋮ 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 Fourier expansions of orthogonal polynomials with a non-discrete Gegenbauer-Sobolev inner product ⋮ A Cohen type inequality for Laguerre-Sobolev expansions ⋮ A simple proof of the divergence of Fourier series on compact connected semisimple Lie groups ⋮ Expansions in Legendre polynomials and Lagrange interpolation

Cites Work

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• On limits of sequences of operators
• On local central lacunary sets for compact Lie groups
• Norms of characters and lacunarity for compact Lie groups
• Sommes de Riesz et multiplicateurs sur un groupe de Lie compact
• Lacunary Fourier series on compact Lie groups
• On a Conjecture of Littlewood and Idempotent Measures
• Polyhedral Summability of Fourier Series on Compact Lie Groups
• A lower bound for the L ¹ norm of exponential sums
• On the Integral Divergence of Dirichlet Kernels for the Second Unitary and Special Unitary Groups
• Mean Convergence of Fourier Series on Compact Lie Groups
• Lattice Points and Lie Groups. I
• On a Theorem of P. J. Cohen and H. Davenport

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