TY - JOUR
T1 - Weight changing operators for automorphic forms on grassmannians and differential properties of certain theta lifts
AU - Zemel, Shaul
N1 - Publisher Copyright:
© 2016 by The Editorial Board of the Nagoya Mathematical Journal .
PY - 2017/12/1
Y1 - 2017/12/1
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=85047557842&partnerID=8YFLogxK
U2 - 10.1017/nmj.2016.57
DO - 10.1017/nmj.2016.57
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AN - SCOPUS:85047557842
SN - 0027-7630
VL - 228
SP - 186
EP - 221
JO - Nagoya Mathematical Journal
JF - Nagoya Mathematical Journal
ER -