Toshiyuki Kobayashi

activity

20052020

most citedTempered homogeneous spaces III

6 citations · 9 across the 2 of their papers we have counts for

collaborators

7 papers

math.GR2020★ 6 cited

Tempered homogeneous spaces III

Yves Benoist, Toshiyuki Kobayashi

Let G be a real semisimple algebraic Lie group and H a real reductive algebraic subgroup. We describe the pairs (G,H) for which the representation of G in $L^{2} (G / H)$ is tempered. W…

math.RT2019

Distinguished representations of SO(n+1,1) x SO(n,1), periods and branching laws

Toshiyuki Kobayashi, Birgit Speh

Given irreducible representations $Π$ and $π$ of the rank one special orthogonal groups $G = S O (n + 1, 1)$ and $G^{'} = S O (n, 1)$ with nonsingular integral infinitesimal character, we state i…

math.RT2018

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…

math.RT2018

Invariant differential operators on spherical homogeneous spaces with overgroups

Fanny Kassel, Toshiyuki Kobayashi

We investigate the structure of the ring $D_{G} (X)$ of $G$ -invariant differential operators on a reductive spherical homogeneous space $X = G / H$ with an overgroup $\widetilde…

math.RT2018

Geometry of coadjoint orbits and multiplicity-one branching laws for symmetric pairs

Toshiyuki Kobayashi, Salma Nasrin

Consider the restriction of an irreducible unitary representation $π$ of a Lie group $G$ to its subgroup $H$ . Kirillov's revolutionary idea on the orbit method suggests that the mu…

math.RT2012★ 3 cited

Varna Lecture on L^2-Analysis of Minimal Representations

Toshiyuki Kobayashi

Minimal representations of a real reductive group G are the "smallest" irreducible unitary representations of G. The author suggests a program of global analysis built on minimal r…