$L^p$-boundedness of pseudo-differential operators on homogeneous trees

DOI10.4064/SM220816-27-3arXiv2207.14363MaRDI QIDQ6063951

Tapendu Rana, Sumit Kumar Rano

Publication date: 8 November 2023

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.14363

zbMATH Keywords

harmonic analysispseudo-differential operatorhomogeneous tree

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Discrete version of topics in analysis (39A12) Groups acting on trees (20E08) Pseudodifferential operators (47G30)

Related Items (1)

\(L^p\)-boundedness of pseudo-differential operators on rank one Riemannian symmetric spaces of noncompact type

Cites Work

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• L ^p -multipliers for Noncompact Symmetric Spaces
• The range of the Helgason-Fourier transformation on homogeneous trees
• Invariant operators on function spaces on homogeneous trees
• The Kunze–Stein phenomenon on the isometry group of a tree
• Pseudo‐differential operators
• An algebra of pseudo‐differential operators
• $L^p$ spherical multipliers on homogeneous trees

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