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We give a simple proof of a result of R. Rochberg and M. H. Taibleson that various maximal operators on a homogeneous tree, including the Hardy-Littlewood and spherical maximal operators, are of weak type (1,1). This result extends to corresponding maximal operators on a transitive group of isometries of the tree, and in particular for (nonabelian finitely generated) free groups.

Admissible distributions on p-adic symmetric spaces.

Jeffrey Hakim (1994)

Journal für die reine und angewandte Mathematik

An example of Fourier transforms of orbital integrals and their endoscopic transfer.

Everling, Ulrich (1998)

The New York Journal of Mathematics [electronic only]

An inequality for local unitary Theta correspondence

Z. Gong, L. Grenié (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

Given a representation $π$ of a local unitary group $G$ and another local unitary group $H$ , either the Theta correspondence provides a representation $θ_{H} (π)$ of $H$ or we set $θ_{H} (π) = 0$ . If $G$ is fixed and $H$ varies in a Witt tower, a natural question is: for which $H$ is $θ_{H} (π) \neq 0$ ? For given dimension $m$ there are exactly two isometry classes of unitary spaces that we denote $H_{m}^{\pm}$ . For $ε \in {0, 1}$ let us denote $m_{ε}^{\pm} (π)$ the minimal $m$ of the same parity of $ε$ such that $θ_{H_{m}^{\pm}} (π) \neq 0$ , then we prove that $m_{ε}^{+} (π) + m_{ε}^{-} (π) \geq 2 n + 2$ where $n$ is the dimension of $π$ .

Displaying 1 – 11 of 11

A correspondence for the generalized Hecke algebra of the metaplectic cover $\bar{S L (2, F)}$ , $F$ $p$ -adic.

A non-archimedean analogue of the discrete series

A Note on Rationality of Orbital Integrals on a P-adic group.

A note on representations of the finite Heisenberg group and sums of greatest common divisors.

A weak type (1,1) estimate for a maximal operator on a group of isometries of a homogeneous tree

Admissible distributions on p-adic symmetric spaces.

An example of Fourier transforms of orbital integrals and their endoscopic transfer.

An inequality for local unitary Theta correspondence

Analyse harmonique des groupes d'automorphismes d'arbres de Bruhat-Tits

Arithmetic aspect of operator algebras

Asymptotic behaviour of supercuspidal characters of $p$ -adic ${𝐆𝐒𝐩}_{(4)}$

Currently displaying 1 – 11 of 11