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. A validity of the formula is established
by a different method based on infinite-dimensional representation theory as
well.
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