On the norms of quaternionic harmonic projection operators

DOI10.1016/j.crma.2018.03.011zbMath1458.46066OpenAlexW2794584692MaRDI QIDQ1747403

Roberto Bramati, Valentina Casarino, Paolo Ciatti

Publication date: 8 May 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2018.03.011

Mathematics Subject Classification ID

Other generalizations of analytic functions (including abstract-valued functions) (30G30) Quaternionic functional analysis (46S05)

Cites Work

• A Mehler-Heine formula for disk polynomials
• Two-parameter estimates for joint spectral projections on complex spheres
• Oscillatory integrals and spherical harmonics
• \(L^p\) joint eigenfunction bounds on quaternionic spheres
• Transferring L^peigenfunction bounds from S²ⁿ⁺¹to hⁿ
• Composition Series and Intertwining Operators for the Spherical Principal Series. I
• Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds
• Strichartz estimates for the Schrödinger equation for the sublaplacian on complex spheres
• On the existence and irreducibility of certain series of representations
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