Sub-Laplacians of Holomorphic Lp -Type on Exponential Solvable Groups

DOI10.1112/S0024610705006599zbMath1086.22006arXivmath/0307051OpenAlexW1919159923MaRDI QIDQ5704279

Jean Ludwig, Detlef Müller, Waldemar Hebisch

Publication date: 14 November 2005

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

Full work available at URL: https://arxiv.org/abs/math/0307051

zbMATH Keywords

heat kernelexponential Lie groupoperators of holomorphic {\(L^p\)}-typesub-Laplacian, functional calculus

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (7)

Spectral multipliers on a class of \(NA\) groups with rank two ⋮ Spectral multiplier theorems of Euclidean type on new classes of two-step stratified groups ⋮ Spectral multipliers for Laplacians with drift on Damek-Ricci spaces ⋮ Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups ⋮ Holomorphic \(L^p\)-type for sub-Laplacians on connected Lie groups ⋮ Functional calculi for convolution operators on a discrete, periodic, solvable group ⋮ Remarks on spectra and 𝐿¹ multipliers for convolution operators

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