2 citations · 4 across the 3 of their papers we have counts for
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A Survey on Rankin-Cohen Deformations
Richard Rochberg, Xiang Tang, Yi-jun Yao
This is a survey about recent progress in Rankin-Cohen deformations. We explain a connection between Rankin-Cohen brackets and higher order Hankel forms.
A universal deformation formula for Connes-Moscovici's Hopf algebra without any projective structure
Xiang Tang, Yijun Yao
We construct a universal deformation formula for Connes-Moscovici's Hopf algebra without any projective structure using Fedosov's quantization of symplectic diffeomorphisms.
Rankin-Cohen Deformations and Representation Theory
Yi-Jun Yao
In this paper, we use the unitary representation theory of to understand the Rankin-Cohen brackets for modular forms. Then we use this interpretation to study the…
Rankin-Cohen brackets and formal quantization
Pierre Bieliavsky, Xiang Tang, Yijun Yao
In this paper, we use the theory of deformation quantization to understand Connes' and Moscovici's results \cite{cm:deformation}. We use Fedosov's method of deformation quantizatio…