175 citations · 1.5k across the 67 of their papers we have counts for
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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…
F-method for constructing equivariant differential operators
Toshiyuki Kobayashi
Using an algebraic Fourier transform of operators, we develop a method (F-method) to obtain explicit highest weight vectors in the branching laws by differential equations. This ar…
Temperedness of reductive homogeneous spaces
Yves Benoist, Toshiyuki Kobayashi
Let G be a semisimple algebraic Lie group and H a reductive subgroup. We find geometrically the best even integer p for which the representation of G in L^2(G/H) is almost L^{p}. A…
Poincaré series for non-Riemannian locally symmetric spaces
Fanny Kassel, Toshiyuki Kobayashi
The discrete spectrum of the Laplacian has been extensively studied on reductive symmetric spaces and on Riemannian locally symmetric spaces. Here we examine it for the first time…
Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups
Joachim Hilgert, Toshiyuki Kobayashi, Jan Möllers +1
For any Hermitian Lie group G of tube type we construct a Fock model of its minimal representation. The Fock space is defined on the minimal nilpotent K_C-orbit X in p_C and the L^…
Classification of symmetric pairs with discretely decomposable restrictions of (g,K)-modules
Toshiyuki Kobayashi, Yoshiki Oshima
We give a complete classification of reductive symmetric pairs (g, h) with the following property: there exists at least one infinite-dimensional irreducible (g,K)-module X that is…