Functional calculi for convolution operators on a discrete, periodic, solvable group

DOI10.1016/J.JFA.2008.11.011zbMath1160.43001OpenAlexW2008522864MaRDI QIDQ1000531

Andrzej Hulanicki, Małgorzata Letachowicz

Publication date: 9 February 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.11.011

zbMATH Keywords

convolution operatordiscrete groupsfunctional calculi\(L^{1}\)-multipliers

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Functional calculus in topological algebras (46H30)

Cites Work

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• On \(L^ p\) spectral multipliers for a solvable Lie group
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• \(\mathbb{L}_ p\) Fourier multipliers on Riemannian symmetric spaces of the noncompact type
• A class of symmetric and a class of Wiener group algebras
• Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth
• Sub-Laplacians of Holomorphic L^p -Type on Exponential Solvable Groups

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