Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/20988
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- Title
- A.e. convergence of spectral sums on lie groups
- Related
- Annales de l’Institut Fourier, Vol. 57, Issue 5, p.1509-1520
- Related
- http://aif.cedram.org/item?id=AIF_2007__57_5_1509_0
- Publisher
- Association des Annales de L'institut Fourier
- Date
- 2007
- Author/Creator
- Meaney, Christopher
- Author/Creator
- Müller, Detlef
- Author/Creator
- Prestini, Elena
- Description
- Let L be a right-invariant sub-Laplacian on a connected Lie group G, and let [equation omitted for formatting reasons], R ≥ 0, denote the associated “spherical partial sums,” where L = [equation omitted for formatting reasons] is the spectral resolution of L. We prove that SRf(x) converges a.e. to f(x) as R→∞ under the assumption log (2+L)f ∈ L²(G).
- Description
- 12 page(s)
- Subject Keyword
- Rademacher-Menshov theorem
- Subject Keyword
- sub-Laplacian
- Subject Keyword
- spectral theory
- Resource Type
- journal article
- Organisation
- Macquarie University. Dept. of Mathematics
- Identifier
- http://hdl.handle.net/1959.14/20988
- Identifier
- ISSN:0373-0956
- Identifier
- mq-rm-2007005067
- Language
- eng
- Reviewed
