25 citations · 61 across the 12 of their papers we have counts for
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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…
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…
Vector-valued covariant differential operators for the Möbius transformation
Toshiyuki Kobayashi, Toshihisa Kubo, Michael Pevzner
We obtain a family of functional identities satisfied by vector-valued functions of two variables and their geometric inversions. For this we introduce particular differential oper…
Differential symmetry breaking operators. I-Genreal theory and F-method. II-Rankin-Cohen Operators for Symmetric Pairs
Toshiyuki Kobayashi, Michael Pevzner
Part I. We prove a one-to-one correspondence between differential symmetry breaking operators for equivariant vector bundles over two homogeneous spaces and certain homomorphisms f…
Geometric analysis on small unitary representations of GL(N,R)
Toshiyuki Kobayashi, Bent Ørsted, Michael Pevzner
The most degenerate unitary principal series representations π_{iλ,δ} (with λ \in R, δ\in Z/2Z) of G = GL(N,R) attain the minimum of the Gelfand-Kirillov dimension among all irredu…