A.e. convergence of spectral sums on Lie groups

DOI10.5802/AIF.2303zbMath1131.22007OpenAlexW2337375710WikidataQ115159039 ScholiaQ115159039MaRDI QIDQ2461177

Christopher Meaney, Elena Prestini, Detlef Müller

Publication date: 27 November 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2007__57_5_1509_0

zbMATH Keywords

Rademacher-Menshov theoremsub-Laplacian spectral theory

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Convergence of Fourier series and of inverse transforms (43A50)

Related Items (3)

Localisation of spectral sums corresponding to the sub-Laplacian on the Heisenberg group ⋮ Some convergence problems regarding the fractional Schrödinger propagator on noncompact manifolds ⋮ Almost everywhere convergence of spectral sums for self-adjoint operators

Cites Work

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• Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an \(L^ 2\)-localisation principle
• Sub-Laplacians of holomorphic \(L^p\)-type on rank one AN-groups and related solvable groups
• Almost everywhere convergence of inverse Fourier transforms
• Almost Everywhere Summability on Nilmanifolds
• L p Bounds for Spectral Multipliers on Nilpotent Groups
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

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