Resonances of the Laplace operator on homogeneous vector bundles on symmetric spaces of real rank-one

نویسندگان

چکیده

We study the resonances of Laplacian acting on compactly supported sections a homogeneous vector bundle over Riemannian symmetric space non-compact type. The is assumed to have rank-one but irreducible representation ? K defining arbitrary. determine resonances. Under additional assumption that occurs in spherical principal series, we resonance representations. They are all irreducible. find their Langlands parameters, wave front sets and which them unitarizable.

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2022

ISSN: ['1857-8365', '1857-8438']

DOI: https://doi.org/10.1016/j.aim.2022.108555