On a theorem of Roe and Strichartz on the unit complex ball

DOI10.1007/S12215-024-01165-6MaRDI QIDQ6667772

Noureddine Imesmad

Publication date: 20 January 2025

Published in: Rendiconti del Circolo Matematico di Palermo (Search for Journal in Brave)

zbMATH Keywords

invariant LaplacianStrichartz theoremRoe theorem

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

• Title not available (Why is that?)
• \(L^2\)-concrete spectral analysis of the invariant Laplacian \(\Delta_{\alpha\beta}\) in the unit complex ball \(B^n\)
• The Plancherel formula for spherical functions with a one-dimensional \(K\)-type on a simply connected simple Lie group of Hermitian type
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces
• Characterization of Eigenfunctions of the Laplacian by Boundedness Conditions
• A characterization of the sine function
• A weighted Plancherel formula II. The case of the ball
• Characterization of almost 𝐿^{𝑝}-eigenfunctions of the Laplace-Beltrami operator

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