𝐿^{𝑝} and operator norm estimates for the complex time heat operator on homogeneous trees

DOI10.1090/S0002-9947-98-02042-XzbMath0885.43010MaRDI QIDQ4382945

Alberto G. Setti

Publication date: 24 March 1998

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

zbMATH Keywords

homogeneous treesSchrödinger semigroupspherical Fourier analysiscomplex time heat operator

Mathematics Subject Classification ID

Heat equation (35K05) Harmonic analysis on homogeneous spaces (43A85) Discrete version of topics in analysis (39A12)

Related Items (5)

Dynamics of semigroups generated by analytic functions of the Laplacian on homogeneous trees ⋮ An Introduction to Dunkl Theory and Its Analytic Aspects ⋮ On the analogue of the Fefferman-Stein theorem on graphs with the Cheeger property ⋮ Riesz means on homogeneous trees ⋮ Strong dispersion property for the quantum walk on the hypercube

Cites Work

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• Estimates for translation invariant operators in \(L^p\) spaces
• Groups of isometries of a tree and the Kunze-Stein phenomenon
• An overview of harmonic analysis on the group of isometries of a homogeneous tree
• Radial convolutors on free groups
• Estimates for functions of the Laplace operator on homogeneous trees

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