Laguerre semigroup and Dunkl operators (2009)
Said, Salem Ben, Kobayashi, Toshiyuki, Orsted, Bent
We construct a two-parameter family of actions \omega_{k,a} of the Lie algebra sl(2,R) by differential-difference operators on R^N \setminus {0}. Here, k is a multiplicity-function for the Dunkl...
Special functions associated to a certain fourth order differential equation (2009)
Hilgert, Joachim, Kobayashi, Toshiyuki, Mano, Gen, Möllers, Jan
We develop a theory of ` special functions\rq associated to a certain fourth order differential operator $\mathcal{D}_{\mu,\nu}$ on $\mathbb{R}$ depending on two parameters $\mu,\nu$. For integers...
Orthogonal polynomials associated to a certain fourth order differential equation (2009)
Hilgert, Joachim, Kobayashi, Toshiyuki, Mano, Gen, Möllers, Jan
We introduce orthogonal polynomials $M_j^{\mu,\ell}(x)$ as eigenfunctions of a certain self-adjoint fourth order differential operator depending on two parameters $\mu\in\mathbb{C}$ and...
Generalized Bernstein--Reznikov integrals (2009)
Clerc, Jean-Louis, Kobayashi, Toshiyuki, Ørsted, Bent, Pevzner, Michael
We find a closed formula for the triple integral on spheres in $\mathbb{R}^{2n}\times\mathbb{R}^{2n}\times\mathbb{R}^{2n}$ whose kernel is given by powers of the standard symplectic form. This gives...
Summary. The complex analytic methods have found a wide range of applications in the study of multiplicity-free representations. This article discusses, in particular, its applications to the...
Composition formulas in the Weyl calculus (2009)
Kobayashi, Toshiyuki, Orsted, Bent, Pevzner, Michael, Unterberger, André
In pseudodifferential analysis, the usual composition formula, which has asymptotic value, extends that valid for differential operators. The one developed here is based instead on the decomposition...
Composition formulas in the Weyl calculus (2009)
Kobayashi, Toshiyuki, Orsted, Bent, Pevzner, Michael, Unterberger, André
In pseudodifferential analysis, the usual composition formula, which has asymptotic value, extends that valid for differential operators. The one developed here is based instead on the decomposition...
Special functions associated to a certain fourth order differential equation (2009)
Hilgert, Joachim, Kobayashi, Toshiyuki, Mano, Gen, Möllersy, Jan
Orthogonal polynomials associated to a certain fourth order differential equation (2009)
Hilgert, Joachim, Kobayashi, Toshiyuki, Mano, Gen, Möllersy, Jan
Kobayashi, Toshiyuki, Mano, Gen
We introduce the `Fourier transform' F_C on the isotropic cone C associated to an indefinite quadratic form of signature (n_1,n_2) on R^n (n=n_1+n_2: even). This transform is in some sense the unique...
The complex analytic methods have found a wide range of applications in the study of multiplicity-free representations. This article discusses, in particular, its applications to the question of...
Propagation of multiplicity-free property for holomorphic vector bundles (2006)
We prove a propagation theorem of multiplicity-free property from fibers to spaces of global sections for holomorphic vector bundles, which yields various multiplicity-free results in representation...
Visible actions on symmetric spaces (2006)
A visible action on a complex manifold is a holomorphic action that admits a $J$-transversal totally real submanifold $S$. It is said to be strongly visible if there exists an orbit-preserving...
Motivated by recent developments on visible actions on complex manifolds, we raise a question whether or not the multiplication of three subgroups $L$, $G'$ and $H$ surjects a Lie group $G$ in the...
Kobayashi, Toshiyuki, Mano, Gen
The minimal representation $\pi$ of the indefinite orthogonal group $O(m+1,2)$ is realized on the Hilbert space of square integrable functions on $\mathbb R^m$ with respect to the measure $|x|^{-1}...
Deformation of Properly Discontinuous Actions of Z^k on R^{k+1} (2006)
Kobayashi, Toshiyuki, Nasrin, Salma
We consider the deformation of a discontinuous group acting on the Euclidean space by affine transformations. A distinguished feature here is that even a `small' deformation of a discrete subgroup...
On discontinuous group actions on non-Riemannian homogeneous spaces (2006)
This article gives an up-to-date account of the theory of discrete group actions on non-Riemannian homogeneous spaces. As an introduction of the motifs of this article, we begin by reviewing the...
Experimental demonstration of the time reversal Aharonov-Casher effect (2005)
Bergsten, Tobias, Kobayashi, Toshiyuki, Sekine, Yoshiaki, Nitta, Junsaku
We demonstrate the time reversal Aharonov-Casher (AC) effect in small arrays of mesoscopic semiconductor rings. By using an electrostatic gate we can control the spin precession rate and follow the...
Invariant multipliers and O(p, q)-action (2005)
Kobayashi, Toshiyuki, Andreas, Nilsson
In this paper we consider multipliers satisfying some invariance conditions coming from O(p, q). We will also investigate $L_p$-boundedness for some of the operators.
Invariant multipliers and O(p, q)-action (2005)
Kobayashi, Toshiyuki, Andreas, Nilsson
In this paper we consider multipliers satisfying some invariance conditions coming from O(p, q). We will also investigate $L_p$-boundedness for some of the operators.
Invariant multipliers and O(p, q)-action (2005)
Kobayashi, Toshiyuki, Andreas, Nilsson
In this paper we consider multipliers satisfying some invariance conditions coming from O(p, q). We will also investigate $L_p$-boundedness for some of the operators.
正則ベクトル束に群作用が与えられているときに、その正則な大域切断の空間に実現された表現を考える。 この表現は、1)...
正則ベクトル束に群作用が与えられているときに、その正則な大域切断の空間に実現された表現を考える。 この表現は、1)...
正則ベクトル束に群作用が与えられているときに、その正則な大域切断の空間に実現された表現を考える。 この表現は、1)...
Compact Clifford-Klein forms of symmetric spaces -- revisited (2005)
Kobayashi, Toshiyuki, Yoshino, Taro
This article discusses the existence problem of a compact quotient of a symmetric space by a properly discontinuous group with emphasis on the non-Riemannian case. Discontinuous groups are not always...
Branching problems of unitary representations (2003)
The irreducible decomposition of a unitary representation often contains continuous spectrum when restricted to a non-compact subgroup. The author singles out a nice class of branching problems where...
Momose, Shuji, Kobayashi, Toshiyuki, Mitani, Hiroaki, Hirabayashi, Masumi, Ito, Kazumi, Ueda, Masatsugu, ...
Hereditary renal carcinomas in the Eker rat are caused by germline retrotransposon insertion in the tuberous sclerosis-2 (Tsc2) gene. We established previously a transgenic Eker rat model into which...
Analysis on the minimal representation of O(p,q) -- I. Realization via conformal geometry (2001)
Kobayashi, Toshiyuki, Orsted, Bent
This is the first in a series of papers devoted to an analogue of the metaplectic representation, namely, the minimal unitary representation of an indefinite orthogonal group; this representation...
Analysis on the minimal representation of O(p,q) -- II. Branching laws (2001)
Kobayashi, Toshiyuki, Orsted, Bent
This is a second paper in a series devoted to the minimal unitary representation of O(p,q). By explicit methods from conformal geometry of pseudo-Riemannian manifolds, we find the branching law...
Kobayashi, Toshiyuki, Orsted, Bent
For the group O(p,q) we give a new construction of its minimal unitary representation via Euclidean Fourier analysis. This is an extension of the q = 2 case, where the representation is the mass...
Toshiyuki Kobayashi, Bent Ørsted, Bent ��rsted, A Orbites, Minimales Nilpotentes
For the unitary representation of O(p; q) attached to the minimal nilpotent coadjoint orbit, we explicitly calculate its restriction to certain natural dual pairs in O(p; q). We furthermore show how...
Criterion for Proper Actions on Homogeneous Spaces of Reductive Groups (1996)
Toshiyuki Kobayashi, Communicated M. Moskowitz
. Let M be a manifold, on which a real reductive Lie group G acts transitively. The action of a discrete subgroup \Gamma on M is not always properly discontinuous. In this paper, we give a criterion...
Kobayashi, Toshiyuki, Nishizawa, Masae, Hirayama, Youko, Kobayashi, Etsuko, Hino, Okio
The Eker rat hereditary renal carcinoma (RC) is an excellent example of a Mendellan dominant predisposition to a specific cancer in an experimental animal. We recently reported that a germline...
Characterization of a Mouse recA-like Gene Specifically Expressed in Testis (1995)
Sato, Shusei, Kobayashi, Toshiyuki, Hotta, Yasuo, Tabata, Satoshi
Using the sequence information on a class of recA-like genes, which have been isolated from meiosisspecific cDNA libraries of Lilium and budding yeast and identified in various plant cells, a new...
Characterization of cDNAs Induced in Meiotic Prophase in Lily Microsporocytes (1994)
Kobayashi, Toshiyuki, Kobayashi, Etsuko, Sato, Shusei, Hotta, Yasuo, Miyajima, Nobuyuki, Tanaka, Ayako, ...
To identify and analyze genes functioning during reproductive cell formation in higher plants, cDNAs harboring the messages induced in meiotic prophase were isolated and characterized. A cDNA library...
Singular unitary representations and discrete series for indefinite stiefel manifolds U(p,q (1992)
Incluye bibliografía
Suzuki, Yasuo, Nishi, Hiroshi, Hidari, Kazuya, Hirabayashi, Yoshio, Matsumoto, Makoto, Kobayashi, Toshiyuki, ...
A new monoclonal antibody (NS24) directed to the N-acetylneuraminylα2-3Galβ1-4GlcNAc residue in type II sugar chain of N-acetylneuraminyllactoneotetraosylceramide [sialylparagloboside,...
Kobayashi, Toshiyuki, Mitani, Hiroaki, Takahashi, Ri-ichi, Hirabayashi, Masumi, Ueda, Masatsugu, Tamura, Hiroshi, ...
We recently reported that a germ-line insertion in the rat homologue of the human tuberous sclerosis gene (TSC2) gives rise to dominantly inherited cancer in the Eker rat model. In this study, we...
Kobayashi, Toshiyuki, Minowa, Osamu, Sugitani, Yoshinobu, Takai, Setsuo, Mitani, Hiroaki, Kobayashi, Etsuko, ...
Tuberous sclerosis (TS) is characterized by the development of hamartomas in various organs and is caused by a germ-line mutation in either TSC1 or TSC2 tumor suppressor genes. From the symptomatic...
Okimoto, Kazuo, Sakurai, Junko, Kobayashi, Toshiyuki, Mitani, Hiroaki, Hirayama, Youko, Nickerson, Michael L., ...
A rat model of hereditary renal carcinoma (RC) was found in a rat colony of the Sprague–Dawley strain in Japan and named the “Nihon” rat. In heterozygotes, RCs, predominantly the clear cell...
Kobayashi, Toshiyuki, Mitani, Hiroaki, Takahashi, Ri-ichi, Hirabayashi, Masumi, Ueda, Masatsugu, Tamura, Hiroshi, ...
We recently reported that a germ-line insertion in the rat homologue of the human tuberous sclerosis gene (TSC2) gives rise to dominantly inherited cancer in the Eker rat model. In this study, we...
Kobayashi, Toshiyuki, Minowa, Osamu, Sugitani, Yoshinobu, Takai, Setsuo, Mitani, Hiroaki, Kobayashi, Etsuko, ...
Tuberous sclerosis (TS) is characterized by the development of hamartomas in various organs and is caused by a germ-line mutation in either TSC1 or TSC2 tumor suppressor genes. From the symptomatic...
Okimoto, Kazuo, Sakurai, Junko, Kobayashi, Toshiyuki, Mitani, Hiroaki, Hirayama, Youko, Nickerson, Michael L., ...
A rat model of hereditary renal carcinoma (RC) was found in a rat colony of the Sprague–Dawley strain in Japan and named the “Nihon” rat. In heterozygotes, RCs, predominantly the clear cell...
Minami, Kahori, Tambe, Yukihiro, Watanabe, Ryosuke, Isono, Takahiro, Haneda, Masataka, Isobe, Ken-ichi, ...
GADD34 is a protein that is induced by a variety of stressors, including DNA damage, heat shock, nutrient deprivation, energy depletion, and endoplasmic reticulum stress. Here, we demonstrated that...
Biphasic Response of Pancreatic β-Cell Mass to Ablation of Tuberous Sclerosis Complex 2 in Mice▿
Shigeyama, Yutaka, Kobayashi, Toshiyuki, Kido, Yoshiaki, Hashimoto, Naoko, Asahara, Shun-ichiro, Matsuda, Tomokazu, ...
Recent studies have demonstrated the importance of insulin or insulin-like growth factor 1 (IGF-1) for regulation of pancreatic β-cell mass. Given the role of tuberous sclerosis complex 2 (TSC2) as...