Let be a right-invariant sub-Laplacian on a connected Lie group and let denote the associated “spherical partial sums,” where is the spectral resolution of We prove that converges a.e. to as under the assumption
Soit un sous-Laplacien invariant à droite sur un groupe de Lie et soit l’opérateur “sommes sphériques partielles” associé, où dénote la résolution spectrale de Nous prouvons que converge vers p.p. quand si
Keywords: Rademacher-Menshov theorem, sub-Laplacian, spectral theory
Mot clés : théorème de Rademacher-Menchov, sous-Laplacien, théorie spectrale
Meaney, Christopher 1; Müller, Detlef 2; Prestini, Elena 3
@article{AIF_2007__57_5_1509_0, author = {Meaney, Christopher and M\"uller, Detlef and Prestini, Elena}, title = {A.e. convergence of spectral sums on {Lie} groups}, journal = {Annales de l'Institut Fourier}, pages = {1509--1520}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {57}, number = {5}, year = {2007}, doi = {10.5802/aif.2303}, mrnumber = {2364139}, zbl = {1131.22007}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2303/} }
TY - JOUR AU - Meaney, Christopher AU - Müller, Detlef AU - Prestini, Elena TI - A.e. convergence of spectral sums on Lie groups JO - Annales de l'Institut Fourier PY - 2007 SP - 1509 EP - 1520 VL - 57 IS - 5 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2303/ DO - 10.5802/aif.2303 LA - en ID - AIF_2007__57_5_1509_0 ER -
%0 Journal Article %A Meaney, Christopher %A Müller, Detlef %A Prestini, Elena %T A.e. convergence of spectral sums on Lie groups %J Annales de l'Institut Fourier %D 2007 %P 1509-1520 %V 57 %N 5 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.2303/ %R 10.5802/aif.2303 %G en %F AIF_2007__57_5_1509_0
Meaney, Christopher; Müller, Detlef; Prestini, Elena. A.e. convergence of spectral sums on Lie groups. Annales de l'Institut Fourier, Volume 57 (2007) no. 5, pp. 1509-1520. doi : 10.5802/aif.2303. https://aif.centre-mersenne.org/articles/10.5802/aif.2303/
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