Riesz means and bilinear Riesz means on H-type groups

DOI10.1016/j.geomphys.2024.105136OpenAlexW4391649649MaRDI QIDQ6123219

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Publication date: 4 March 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2024.105136

zbMATH Keywords

Riesz meansH-type grouprestriction theorembilinear Riesz means

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Multipliers for harmonic analysis in several variables (42B15) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Cites Work

• Boundedness of bilinear multipliers whose symbols have a narrow support
• The multilinear Marcinkiewicz interpolation theorem revisited: the behavior of the constant
• L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
• The bilinear Bochner-Riesz problem
• Harmonic analysis as spectral theory of Laplacians
• Riesz means for the eigenfunction expansions for a class of hypoelliptic differential operators
• Harmonic analysis on the Heisenberg group
• Improved bound for the bilinear Bochner-Riesz operator
• \(H\)-type groups and Iwasawa decompositions
• Bilinear Riesz means on the Heisenberg group
• A restriction theorem for the H-type groups
• Interpolation of Linear Operators
• The disc as a bilinear multiplier
• On Riesz means of eigenfunction expansions for the Kohn-Laplacian.
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• Boundedness of the bilinear Bochner-Riesz means in the non-Banach triangle case
• The heat kernel on H-type groups