Abstract
An analogue of the Howe-Moore theorem for vanishing of matrix coefficients of representations of certain semisimple Lie groups is proved for certain automorphism groups of a regular or bi-regular trees. It is also shown that for measure preserving actions of some such groups ergodicity implies mixing of all orders.
The second author was supported by the Edmund Landau Center for Research in Mathematical Analysis supported by the Minerva Foundation (Federal Republic of Germany). Part of the work was done while both authors were visiting the Department of Mathematics at Yale University.
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© 1992 Springer Science+Business Media New York
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Lubotzky, A., Mozes, S. (1992). Asymptotic Properties of Unitary Representations of Tree Automorphisms. In: Picardello, M.A. (eds) Harmonic Analysis and Discrete Potential Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2323-3_24
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DOI: https://doi.org/10.1007/978-1-4899-2323-3_24
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