The Subalgebra of L 1 (AN) Generated by the Laplacian

DOI10.2307/2159195zbMath0789.22018OpenAlexW4238868381MaRDI QIDQ4038396

Waldemar Hebisch

Publication date: 16 May 1993

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159195

zbMATH Keywords

maximal operatorRiesz meansheat semigroupconvolution algebra of radial functionsLaplacian on Iwasawa groupsnonanalytic functional calculus

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Analysis on real and complex Lie groups (22E30) Linear operators on function spaces (general) (47B38) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (7)

Spectral multipliers on a class of \(NA\) groups with rank two ⋮ Estimations $L^p$ des fonctions du Laplacien sur les variétés cuspidales ⋮ On \(L^ p\) spectral multipliers for a solvable Lie group ⋮ Sub-Laplacians of holomorphic \(L^p\)-type on rank one AN-groups and related solvable groups ⋮ Wave equation and multiplier estimates on Damek-Ricci spaces ⋮ Multiplicateurs de Mikhlin pour une classe particulière de groupes non-unimodulaires. (Mikhlin multipliers for a particular class of non-unimodular groups.) ⋮ Norms of certain functions of a distinguished Laplacian on the \(ax+b\) groups

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