A.e. convergence of spectral sums on Lie groups

Christopher Meaney; Detlef Müller; Elena Prestini

Displaying similar documents to “A.e. convergence of spectral sums on Lie groups”

Necessary condition for measures which are $(L^{q}, L^{p})$ multipliers

Bérenger Akon Kpata, Ibrahim Fofana, Konin Koua (2009)

Annales mathématiques Blaise Pascal

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Let $G$ be a locally compact group and $ρ$ the left Haar measure on $G$ . Given a non-negative Radon measure $μ$ , we establish a necessary condition on the pairs $(q, p)$ for which $μ$ is a multiplier from $L^{q} (G, ρ)$ to $L^{p} (G, ρ)$ . Applied to $ℝ^{n}$ , our result is stronger than the necessary condition established by Oberlin in [14] and is closely related to a class of measures defined by Fofana in [7]. When $G$ ...

On Kelvin type transformation for Weinstein operator

Martina Šimůnková (2001)

Commentationes Mathematicae Universitatis Carolinae

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The note develops results from [5] where an invariance under the Möbius transform mapping the upper halfplane onto itself of the Weinstein operator $W_{k} : = Δ + \frac{k}{x_{n}} \frac{\partial}{\partial x_{n}}$ on $ℝ^{n}$ is proved. In this note there is shown that in the cases $k \neq 0$ , $k \neq 2$ no other transforms of this kind exist and for case $k = 2$ , all such transforms are described.

Distances on the tropical line determined by two points

María Jesús de la Puente (2014)

Kybernetika

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Let $p^{'}$ and $q^{'}$ be points in $ℝ^{n}$ . Write $p^{'} \sim q^{'}$ if $p^{'} - q^{'}$ is a multiple of $(1, ..., 1)$ . Two different points $p$ and $q$ in $ℝ^{n} / \sim$ uniquely determine a tropical line $L (p, q)$ passing through them and stable under small perturbations. This line is a balanced unrooted semi-labeled tree on $n$ leaves. It is also a metric graph. If some representatives $p^{'}$ and $q^{'}$ of $p$ and $q$ are the first and second columns of some real normal idempotent order $n$ matrix $A$ , we prove that the tree $L (p, q)$ is described by a matrix $F$ , easily obtained from $A$ . We also...

Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms

Viviane Baladi, Masato Tsujii (2007)

Annales de l’institut Fourier

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We study spectral properties of transfer operators for diffeomorphisms $T : X \to X$ on a Riemannian manifold $X$ . Suppose that $Ω$ is an isolated hyperbolic subset for $T$ , with a compact isolating neighborhood $V \subset X$ . We first introduce Banach spaces of distributions supported on $V$ , which are anisotropic versions of the usual space of $C^{p}$ functions $C^{p} (V)$ and of the generalized Sobolev spaces $W^{p, t} (V)$ , respectively. We then show that the transfer operators associated to $T$ and a smooth weight $g$ extend boundedly to these...

Displaying similar documents to “A.e. convergence of spectral sums on Lie groups”

Necessary condition for measures which are ( L q , L p ) multipliers

On Kelvin type transformation for Weinstein operator

Distances on the tropical line determined by two points

Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms

Necessary condition for measures which are $(L^{q}, L^{p})$ multipliers