The Constant Term of Tempered Functions on a Real Spherical Space
نویسندگان
چکیده
Abstract Let $Z$ be a unimodular real spherical space. We develop theory of constant terms for tempered functions on $Z$, which parallels the work Harish-Chandra. The $f_I$ an eigenfunction $f$ are parametrized by subsets $I$ set $S$ roots that determine fine geometry at infinity. Constant transitive i.e., $(f_J)_I=f_I$ $I\subset J$, and our main result is quantitative bound difference $f-f_I$, uniform in parameter eigenfunction.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2021
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnaa395