An update on the \(L^p-L^q\) norms of spectral multipliers on unimodular Lie groups

DOI10.1007/s00013-023-01838-1OpenAlexW4360979763MaRDI QIDQ2699120

David Rottensteiner, Michael Ruzhansky

Publication date: 26 April 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.12532

zbMATH Keywords

Lie groupspectral multipliersub-LaplacianunimodularRockland operator

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Spectral theory and eigenvalue problems for partial differential equations (35Pxx)

Cites Work

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• Quantization on nilpotent Lie groups
• Spectral theory for commutative algebras of differential operators on Lie groups
• The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups
• Weighted subcoercive operators on Lie groups
• Weighted strongly elliptic operators on Lie groups
• Analysis on Lie groups with polynomial growth
• \(L^p-L^q\) multipliers on locally compact groups
• The Hausdorff-Young inequality on Lie groups
• Sub-Laplacian eigenvalue bounds on sub-Riemannian manifolds
• Pseudo-Differential Operators and Symmetries
• L p Bounds for Spectral Multipliers on Nilpotent Groups
• The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the Heisenberg group
• On positive Rockland operators
• Harmonic and anharmonic oscillators on the Heisenberg group

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