A theorem of Strichartz for multipliers on homogeneous trees

DOI10.1007/S00209-024-03635-0MaRDI QIDQ6646318

Rudra P. Sarkar, Sumit Kumar Rano

Publication date: 29 November 2024

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

LaplacianeigenfunctionmultiplierPoisson transformhomogeneous tree

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Discrete version of topics in analysis (39A12) Harmonic analysis and spherical functions (43A90) Groups acting on trees (20E08)

Cites Work

• Title not available (Why is that?)
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• Generalization of characterizations of the trigonometric functions
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• A characterization of the sine function
• Characterization of Eigenfunctions by Boundedness Conditions
• The range of the Helgason-Fourier transformation on homogeneous trees
• 𝐿^{𝑝} and operator norm estimates for the complex time heat operator on homogeneous trees
• Estimates for functions of the Laplace operator on homogeneous trees
• Polyharmonic functions on trees
• Classical Fourier Analysis
• Characterization of almost 𝐿^{𝑝}-eigenfunctions of the Laplace-Beltrami operator
• Roe–Strichartz theorem on two‐step nilpotent Lie groups^a

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