Abstract
The main theme of this paper is that singular automorphic forms on classical groups are given by theta series liftings. We establish several inequalities relating the automorphic multiplicities of a given representation and that of its abstract theta lift. Our methods allow one to lift noncuspidal, square integrable automorphic forms when the dual pair involved is in the stable range. In this way we construct new families of singular automorphic forms, many of which are clearly unipotent. In fact, starting from one-dimensional representations and repeating the procedure (of lifting in the stable range), one may obtain all automorphic forms which are quadratic unipotent in the sense of Moeglin.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
