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

Shaul Zemel

doi:10.1017/nmj.2016.57

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

Shaul Zemel

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	186-221
Number of pages	36
Journal	Nagoya Mathematical Journal
Volume	228
DOIs	https://doi.org/10.1017/nmj.2016.57
State	Published - 1 Dec 2017

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1017/nmj.2016.57

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title = "Weight changing operators for automorphic forms on grassmannians and differential properties of certain theta lifts",

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.",

author = "Shaul Zemel",

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year = "2017",

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doi = "10.1017/nmj.2016.57",

language = "الإنجليزيّة",

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AB - 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.

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U2 - 10.1017/nmj.2016.57

DO - 10.1017/nmj.2016.57

M3 - مقالة

SN - 0027-7630

VL - 228

SP - 186

EP - 221

JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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