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Covariant differential operators and the Rankin-Cohen bracket

Toshihisa Kubo
(University of Tokyo)
Analyseseminar
Torsdag, 5 november, 2015, at 16:15, in Aud. D3 (1531-215)
Abstrakt:
The aim of this talk is to obtain a family of functional identities satisfied by vector-valued functions of two variables and their geometric inversions. For this we introduce some particular differential operators of arbitrary order attached to Gegenbauer polynomials. These differential operators are symmetry breaking operators in the sense of T. Kobayashi for the pair of Lie groups (SL(2, C), SL(2, R)) that arise from conformal geometry.

This is a joint work with Toshiyuki Kobayashi and Michael Pevzner.
Kontaktperson: Bent Ørsted