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Construction of Brooks-Lindenstrauss kernels on affine buildings of arbitrary reduced type, with applications

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arxiv 2312.06860 v2 pith:5YPGG3RI submitted 2023-12-11 math.CA math.DSmath.GRmath.NTmath.RT

Jean-Philippe Anker , Bertrand Rémy , Bartosz Trojan This is my paper · ORCID
classification math.CAmath.DSmath.GRmath.NTmath.RT
keywords affinebuildingskernelsanalysisapplicationsaquearbitraryarithmetic
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This article deals with harmonic analysis on affine buildings. Its main goal is to construct suitable kernels associated to a discrete multitemporal wave equations on the latter spaces, the long-standing motivation being to contribute to progress in arithmetic quantum unique ergodicity (AQUE) on certain Riemannian manifolds.

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  1. Spectral theory for transfer operators on compact quotients of Euclidean buildings

    math.DS 2026-03 conditional novelty 6.0 of 10

    On compact quotients of Euclidean buildings, the Taylor spectrum of the transfer-operator family equals the joint point spectrum away from zero.

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