Weight changing operators for automorphic forms on grassmannians and differential properties of certain theta lifts

Shaul Zemel*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We define weight changing operators for automorphic forms on Grassmannians, that is, on orthogonal groups, and investigate their basic properties. We then evaluate their action on theta kernels, and prove that theta lifts of modular forms, in which the theta kernel involves polynomials of a special type, have some interesting differential properties.

Original languageAmerican English
Pages (from-to)186-221
Number of pages36
JournalNagoya Mathematical Journal
Volume228
DOIs
StatePublished - 1 Dec 2017

Bibliographical note

Publisher Copyright:
© 2016 by The Editorial Board of the Nagoya Mathematical Journal .

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