Kavli Affiliate: Toshiyuki Kobayashi
| First 5 Authors: Toshiyuki Kobayashi, Michael Pevzner, , ,
| Summary:
Motivated by the classical ideas of generating functions for orthogonal
polynomials, we initiate a new line of investigation on "generating operators"
for a family of differential operators between two manifolds. We prove a novel
formula of the generating operators for the Rankin-Cohen brackets by using
higher-dimensional residue calculus. Various results on the generating
operators are also explored from the perspective of infinite-dimensional
representation theory.
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