25 citations · 61 across the 12 of their papers we have counts for
15 papers
Rankin--Cohen brackets in Representation Theory
Toshiyuki Kobayashi, Michael Pevzner
The Rankin--Cohen brackets provide a basic example of ``non-elementary" differential symmetry breaking operators. They can be interpreted as bi-differential operators remarkable fo…
A short proof for Rankin--Cohen brackets and generating operators
Toshiyuki Kobayashi, Michael Pevzner
Motivated by the concept of "generating operators" for a countable family of operators introduced in the recent paper (arXiv:2306.16800), we find a method to reconstruct the Rankin…
A generating operator for Rankin-Cohen brackets
Toshiyuki Kobayashi, Michael Pevzner
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…
Inversion of Rankin-Cohen operators via Holographic Transform
Toshiyuki Kobayashi, Michael Pevzner
The analysis of branching problems for restriction of representations brings the concept of symmetry breaking transform and holographic transform. Symmetry breaking operators decre…
Conformal symmetry breaking operators for anti-de Sitter spaces
Toshiyuki Kobayashi, Toshihisa Kubo, Michael Pevzner
For a pseudo-Riemannian manifold and a totally geodesic hypersurface , we consider the problem of constructing and classifying all linear differential operators $\mathcal{E}…
Classification of differential symmetry breaking operators for differential forms
Toshiyuki Kobayashi, Toshihisa Kubo, Michael Pevzner
We give a complete classification of conformally covariant differential operators between the spaces of differential -forms on the sphere and -forms on the totally geod…