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Currently displaying 1 – 4 of 4

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An inequality for bi-orthogonal pairs.

Meaney, Christopher — 2009

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Spherical functions and spectral synthesis

Christopher Meaney — 1985

Compositio Mathematica

Unbounded Lebesgue Constants on Compact Groups.

Christopher Meaney — 1981

Monatshefte für Mathematik

A.e. convergence of spectral sums on Lie groups

Christopher Meaney; Detlef Müller; Elena Prestini — 2007

Annales de l’institut Fourier

Let $ℒ$ be a right-invariant sub-Laplacian on a connected Lie group $G,$ and let $S_{R} f : = \int_{0}^{R} d E_{λ} f, R \geq 0,$ denote the associated “spherical partial sums,” where $ℒ = \int_{0}^{\infty} λ d E_{λ}$ is the spectral resolution of $ℒ .$ We prove that $S_{R} f (x)$ converges a.e. to $f (x)$ as $R \to \infty$ under the assumption $log (2 + ℒ) f \in L^{2} (G) .$

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