Toshiyuki Kobayashi

Toshiyuki Kobayashi's AcademicInfluence.com Rankings

Toshiyuki Kobayashi

Mathematics

#2935

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#4423

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Algebraic Geometry

#142

World Rank

#149

Historical Rank

Measure Theory

#2691

World Rank

#3215

Historical Rank

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Mathematics

Toshiyuki Kobayashi's Degrees

PhD Mathematics University of Tokyo

Why Is Toshiyuki Kobayashi Influential?

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According to Wikipedia, Toshiyuki Kobayashi is a Japanese mathematician known for his original work in the field of Lie theory, and in particular for the theory of discontinuous groups and the application of geometric analysis to representation theory. He was a major developer in particular of the theory of discontinuous groups for non-Riemannian homogeneous spaces and the theory of discrete breaking symmetry in unitary representation theory.

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Toshiyuki Kobayashi's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Production of a 100-m-long high-quality graphene transparent conductive film by roll-to-roll chemical vapor deposition and transfer process (2013) (408)
Discrete decomposability of the restriction ofAq(λ) with respect to reductive subgroups and its applications (1994) (182)
Proper action on a homogeneous space of reductive type (1989) (144)
Discrete decomposability of the restriction of Aq(λ) with respect to reductive subgroups III. Restriction of Harish-Chandra modules and associated varieties (1998) (142)
Experimental demonstration of the time reversal Aharonov-Casher effect. (2005) (125)
Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs (2006) (108)
Finite multiplicity theorems for induction and restriction (2011) (104)
Analysis on the minimal representation of O(p,q) II. Branching laws (2001) (99)
Symmetry breaking for representations of rank one orthogonal groups II. (2013) (98)
Discrete decomposability of the restriction of A_q(λ)with respect to reductive subgroups II-micro-local analysis and asymptotic K-support (1998) (97)
Analysis on the minimal representation of O(p,q) -- III. ultrahyperbolic equations on R^{p-1,q-1} (2001) (97)
Laguerre semigroup and Dunkl operators (2009) (97)
Compact Clifford-Klein forms of symmetric spaces -- revisited (2005) (94)
Analysis on the minimal representation of O(p;q) { I. Realization via conformal geometry (2001) (89)
Channel-length-dependent field-effect mobility and carrier concentration of reduced graphene oxide thin-film transistors. (2010) (78)
On discontinuous groups acting on homogeneous spaces with non-compact isotropy subgroups (1993) (78)
Deformation of compact Clifford-Klein forms of indefinite-Riemannian homogeneous manifolds (1998) (71)
Branching laws for Verma modules and applications in parabolic geometry. I (2013) (67)
Discontinuous Groups and Clifford—Klein Forms of Pseudo-Riemannian Homogeneous Manifolds (1997) (67)
Criterion for proper actions on homogeneous spaces of reductive groups (1996) (60)
Discontinuous Groups for Non-Riemannian Homogeneous Spaces (2001) (59)
The Schrödinger model for the minimal representation of the indefinite orthogonal group ( (2007) (56)
The inversion formula and holomorphic extension of the minimal representation of the conformal group (2006) (56)
Restrictions of generalized Verma modules to symmetric pairs (2010) (51)
Visible actions on symmetric spaces (2006) (51)
Singular unitary representations and discrete series for indefinite Stiefel manifolds ( (1992) (49)
Generalized Bernstein–Reznikov integrals (2009) (49)
Note on Hirzebruch's Proportionality Principle (1989) (49)
Discrete Series Representations for the Orbit Spaces Arising from Two Involutions of Real Reductive Lie Groups (1998) (49)
A necessary condition for the existence of compact Clifford-Klein forms of homogeneous spaces of reductive type (1992) (48)
A program for branching problems in the representation theory of real reductive groups (2015) (47)
Classification of discretely decomposable Aq(λ) with respect to reductive symmetric pairs (2011) (46)
Differential symmetry breaking operators: I. General theory and F-method (2016) (43)
Minimal representations via Bessel operators (2011) (41)
Periodic Schrödinger Operators on a Manifold (1989) (41)
A generalized Cartan decomposition for the double coset space (2006) (40)
Differential symmetry breaking operators: II. Rankin–Cohen operators for symmetric pairs (2016) (37)
Classification of symmetric pairs with discretely decomposable restrictions of (g, K)-modules (2012) (36)
Discontinuous groups acting on homogeneous spaces of reductive type (1990) (36)
Integral Formulas for the Minimal Representation of O(p,2) (2005) (36)
Geometric analysis on small unitary representations of GL(N,R) (2010) (35)
Discretely Decomposable Restrictions of Unitary Representations of Reductive Lie Groups — Examples and Conjectures (2000) (35)
F-method for symmetry breaking operators (2013) (35)
Poincaré series for non-Riemannian locally symmetric spaces (2012) (35)
CLASSIFICATION OF FINITE-MULTIPLICITY SYMMETRIC PAIRS (2013) (35)
Geometry of Multiplicity-Free Representations of GL(n), Visible Actions on Flag Varieties, and Triunity (2004) (34)
Harmonic analysis on homogeneous manifolds of reductive type and unitary representation theory (1998) (33)
Shintani Functions, Real Spherical Manifolds, and Symmetry Breaking Operators (2013) (31)
Restrictions of Unitary Representations of Real Reductive Groups (2005) (30)
DEFORMATION OF PROPERLY DISCONTINUOUS ACTIONS OF ℤk ON ℝk+1 (2006) (30)
Conformal geometry and branching laws for unitary representations attached to minimal nilpotent orbits (1998) (28)
Propagation of Multiplicity-Freeness Property for Holomorphic Vector Bundles (2006) (27)
Conformal Symmetry Breaking Operators for Differential Forms on Spheres (2016) (27)
Fock model and Segal–Bargmann transform for minimal representations of Hermitian Lie groups (2012) (26)
Differential Symmetry Breaking Operators (2018) (25)
Generalized Fourier transforms Fk,a (2009) (25)
Branching problems of Zuckerman derived functor modules (2011) (24)
Branching Problems of Unitary Representations (2003) (23)
F-method for constructing equivariant differential operators (2012) (23)
A vanishing theorem for modular symbols on locally symmetric spaces (1998) (21)
Analysis on the minimal representation of (2002) (21)
Tempered reductive homogeneous spaces (2012) (19)
Special functions associated with a certain fourth-order differential equation (2009) (18)
RANKIN-COHEN OPERATORS FOR SYMMETRIC PAIRS (2013) (18)
Multiplicity One Theorem in the Orbit Method (2003) (17)
MULTIPLICITY FREE THEOREM IN BRANCHING PROBLEMS OF UNITARY HIGHEST WEIGHT MODULES (17)
MULTIPLICITY FREE THEOREM IN BRANCHING PROBLEMS OF UNITARY HIGHEST WEIGHT MODULES (17)
On discontinuous group actions on non-Riemannian homogeneous spaces (2006) (17)
Differential symmetry breaking operators. I-Genreal theory and F-method. II-Rankin-Cohen Operators for Symmetric Pairs (2013) (16)
Integral formula of the unitary inversion operator for the minimal representation of O(p,q) (2007) (15)
Intertwining operators and the restriction of representations of rank one orthogonal groups (2014) (15)
Vector-Valued Covariant Differential Operators for the Möbius Transformation (2014) (15)
Algebraic Analysis of Minimal Representations (2010) (15)
Global uniqueness of small representations (2014) (14)
Introduction to Actions of Discrete Groups on Pseudo-Riemannian Homogeneous Manifolds (2002) (14)
Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group O(p,q) (2019) (14)
Development of a micro flow spectrophotometric titration method (1992) (14)
THEORY OF DISCRETELY DECOMPOSABLE RESTRICTIONS OF UNITARY REPRESENTATIONS OF SEMISIMPLE LIE GROUPS AND SOME APPLICATION∗ (2004) (13)
Conformal geometry and global solutions to the Yamabe equations on classical pseudo-Riemannian manifolds (2002) (12)
Hidden Symmetries and Spectrum of the Laplacian on an Indefinite Riemannian Manifold (2008) (11)
Symmetry Breaking for Orthogonal Groups and a Conjecture by B. Gross and D. Prasad (2016) (11)
Hidden Symmetries and Spectrum of the Laplacian on an Indefinite Riemannian Manifold (2008) (11)
Global Analysis by Hidden Symmetry (2016) (10)
A Facile Preparation of an Alumina-Supported Chromium Reagent and Its Application to the Chemoselective Oxidation of Various Alcohols (1994) (10)
Invariant mesures on homogeneous manifolds of reductive type. (1997) (9)
Stable spectrum for pseudo-Riemannian locally symmetric spaces (2011) (9)
The restriction of $A_q \left( \lambda \right)$ to reductive subgroups (1993) (8)
Composition formulas in the Weyl calculus (2009) (8)
Perturbation of domains in the Pompeiu problem (1993) (8)
Orthogonal polynomials associated to a certain fourth order differential equation (2009) (8)
Tempered homogeneous spaces III (2020) (8)
Intrinsic Sound of Anti-de Sitter Manifolds (2015) (6)
Varna Lecture on L 2 -Analysis of Minimal Representations (2012) (6)
Invariant differential operators on spherical homogeneous spaces with overgroups (2018) (6)
Group invariance and Lp-bounded operators (2008) (6)
TEMPERED HOMOGENEOUS SPACES IV (2017) (6)
Bounded multiplicity theorems for induction and restriction (2021) (6)
Spectral analysis on standard locally homogeneous spaces (2019) (5)
Symmetry breaking operators for the restriction of representations of indefinite orthogonal groups $O(p,q)$ (2017) (5)
Inversion of Rankin–Cohen operators via Holographic Transform (2018) (5)
Symmetric pairs with finite-multiplicity property for branching laws of admissible representations (2014) (4)
Distinguished Representations of SO(n + 1, 1) × SO(n, 1), Periods and Branching Laws (2019) (4)
Spectral analysis on pseudo-Riemannian locally symmetric spaces (2020) (4)
Indefinite higher Riesz transforms (2009) (4)
Residue formula for regular symmetry breaking operators (2017) (4)
Conformal Symmetry Breaking Operators for Anti-de Sitter Spaces (2016) (4)
Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability (2019) (4)
An integral formula for L 2-eigenfunctions of a fourth-order Bessel-type differential operator (2010) (4)
Geometry of Coadjoint Orbits and Multiplicity-one Branching Laws for Symmetric Pairs (2018) (4)
Temperedness of Reductive Homogeneous Spaces (2012) (4)
Discrete spectrum for non-Riemannian locally symmetric spaces. I. Construction and stability (2012) (4)
Tempered homogeneous spaces (2017) (3)
Classification of differential symmetry breaking operators for differential forms (2016) (3)
Representation theory and automorphic forms (2008) (3)
Special Functions in Minimal Representations (2013) (3)
What Mathematics Can Do for You (2013) (3)
On the establishment of the Takagi Lectures (2007) (3)
Invariant multipliers and O(p, q)-action (2005) (2)
Finite multiplicity theorems (2011) (2)
Representations of Lie Groups and Supergroups (2013) (2)
Introduction to visible actions on complex manifolds and multiplicity-free representations(Developments of Cartan Geometry and Related Mathematical Problems) (2006) (2)
Multiplicity in restricting small representations (2022) (2)
F-method for continuous restriction operators (2013) (1)
Multiplicity in restricting minimal representations (2022) (1)
$L^p$-analysis on homogeneous manifolds of reductive type and representation theory (1997) (1)
Conformal Symmetry Breaking on Differential Forms and Some Applications (2017) (1)
Temperedness criterion of the tensor product of parabolic induction for GL (2021) (1)
What Mathematics Can Do for You: Essays and Tips from Japanese Industry Leaders (2013) (1)
A Hidden Symmetry of a Branching Law (2020) (1)
Review of Principal Series Representations (2018) (1)
Deformation space of discontinuous groups $\mathbb{Z}^k$ for a nilmanifold $\mathbb{R}^{k+1}$(Representation theory of groups and extension of harmonic analysis) (2006) (0)
Minor Summation Formulæ Related to Exterior Tensor $\begin{array}{lll}\bigwedge^i\;(\mathbb{C}^n)\end{array}$ (2018) (0)
R T ] 1 F eb 2 01 7 Symmetry breaking for orthogonal groups and a conjecture by B . Gross and (2019) (0)
Symmetry Breaking Operators for Irreducible Representations with Infinitesimal Character ρ: Proof of Theorems4.1 and 4.2 (2018) (0)
Image of conformally covariant, symmetry breaking operators forRp,q (2018) (0)
F-method for symmetry breaking operators Dedicated to Professor Michael Eastwood for his 60th birthday (2013) (0)
Recent advances in branching problems of representations (2021) (0)
Regular Symmetry Break ing Operators ˜ λ, ν,δε i, j$${\w idet ilde {\mathbb {A}}}_{{\lambda },{\nu },{\delta \vareps ilon }}^{{ i, j}}$$ from Iδ( i, λ) to Jε( j, ν) (2018) (0)
Appendix II: Restriction to $\overline G=SO(n+1,1)$ (2018) (0)
Special Functions in Minimal Representations Toshiyuki Kobayashi (2013) (0)
XXXVI WORKSHOP ON GEOMETRIC METHODS IN PHYSICS (2017) (0)
Differential symmetry breaking operators: I. General theory and F-method (2015) (0)
Symmetry Breaking Operators and Principal Series Representations of G = O(n+1, 1) (2016) (0)
Preface to the twelfth Takagi Lectures (2013) (0)
United States Patent ( 19 ) Kobayashi et al . ( 54 ) DRIPPING FLUID LEVEL DETECTOR 75 ) Inventors : (2017) (0)
Symmetry Breaking Operators for Principal Series Representations—General Theory (2018) (0)
Multiplicity one theorem on branching laws and geometry of complex manifolds (Expansion of Lie Theory and New Advances) (2003) (0)
Waning Memories of the Atomic Bombings, Waxing Concern for Nuclear War : From a Public Opinion Survey on People's Awareness of the Atomic Bombings,Conducted in Hiroshima, All-Japan, and the United States (2005) (0)
2 3 Se p 20 05 Compact Clifford-Klein forms of symmetric spaces – revisited In memory of Professor Armand Borel (2018) (0)
Construction of Differential Symmetry Breaking Operators (2016) (0)
Basic Operators in Differential Geometry and Conformal Covariance (2016) (0)
Matrix-Valued F-method for O(n+1, 1) (2016) (0)
Conjectures on reductive homogeneous spaces (2022) (0)
0 Ju n 20 06 Visible actions on symmetric spaces (2008) (0)
Locally Symmetric Spaces (2008) (0)
F-method for Matrix-Valued Differential Operators (2016) (0)
A rotary electrical machine comprising a brush holder Resin (1985) (0)
The Knapp–Stein Intertwining Operators Revisited: Renormalization and K-spectrum (2018) (0)
composite assembly containing a metal and a resin, manufacturing process of this assembly and rotating electric machine using the composite assembly (1988) (0)
Symmetry Breaking for Irreducible Representations with Infinitesimal Character ρ (2018) (0)
The restriction of $A_\mathgerm{q } \left( \lambda \right)$ to reductive subgroups, II (1995) (0)
Special Functions in Minimal Representations Toshiyuki Kobayashi (2013) (0)
Classification of finite-multiplicity symmetric pairs In honour of Professor Dynkin for his 90th birthday (2014) (0)
MAXIMAL SEMIGROUP SYMMETRY AND DISCRETE RIESZ TRANSFORMS (2015) (0)
F-system for Symmetry Breaking Operators ( j = i–2, i+1 case) (2016) (0)
Appendix I: Irreducible Representations of G = O(n + 1, 1), θ-stable Parameters, and Cohomological Induction (2018) (0)
L-analysis on Homogeneous Manifolds of Reductive Type and Representation Theory (0)
A Conjecture: Symmetry Breaking for Irreducible Representations with Regular Integral Infinitesimal Character (2018) (0)
Bounded multiplicity branching for symmetric pairs (2022) (0)
Matrix-Valued Factorization Identities (2016) (0)
Proposal of Spin Interference Experiment Using GaAs/AlGaAs Heterostructures (2008) (0)
Symmetry breaking operators for representations of indefinite orthogonal groups O(p, q) (2016) (0)
BRANCHING PROBLEMS IN REPRESENTATION THEORY OF REDUCTIVE LIE GROUPS (2015) (0)
Differential symmetry breaking operators: II. Rankin–Cohen operators for symmetric pairs (2015) (0)
A Dialogue Between a Mathematician and Toyota’s Chairman: Think, Think, and Think Again (2013) (0)
Global uniqueness of small representations (2015) (0)
Introduction to representation theory of real reductive Lie groups and branching problems∗ (2019) (0)
Discontinuous Group in a Non-Riemannian Homogeneous Space(WORKSHOP ON ALGEBRAIC GROUPS AND RELATED TOPICS) (1990) (0)
Application I: Some Conjectures by B. Gross and D. Prasad: Restrictions of Tempered Representations of SO(n + 1, 1) to SO(n, 1) (2018) (0)
Development of removal equipment for nitrogen oxides by diffusion scrubber coated with TiO2 as a photocatalyst (2003) (0)
Characterizing multipliers by relative invariance (Expansion of Lie Theory and New Advances) (2003) (0)
Energy distribution of the ballistic hot electrons and holes emitted from a quantum point contact and probed by a quantum dot (2008) (0)
Appendix III: A Translation Functor for G = O(n + 1, 1) (2018) (0)
Application II: Periods, Distinguished Representations and $(\mathfrak {g},K)$-cohomologies (2018) (0)
Regular Symmetry Breaking Operators (2018) (0)
Identities of Scalar-Valued Differential Operators $ \mathfrak{D}_\mathrm{l}^\mu $ (2016) (0)
Branching problems of Zuckerman derived functor modules Dedicated to Gregg Zuckerman on the occasion of his 60 th birthday (2011) (0)
Image of Conformally Covariant, Symmetry Breaking Operators for $${\mathbb {R}}^{p,q}$$ (2017) (0)
Visible Actions and Multiplicity-Free Representations (2014) (0)
Study on Gels Formed in Ternary Systems of Cationic Surfactant, Polyols and Oils (1986) (0)
FEATURE From “ Local ” to “ Global ” ̶ Beyond the Riemannian Geometry (2014) (0)
Solutions to Problems A and B for (Sn, Sn–1) (2016) (0)
A Facile Preparation of an Alumina‐Supported Chromium Reagent and Its Application to the Chemoselective Oxidation of Various Alcohols. (1994) (0)
Topics on Global Analysis of Manifolds and Representation Theory of Reductive Groups (2020) (0)
Appendix: Gegenbauer Polynomials (2016) (0)
Geometry of Coadjoint Orbits and Multiplicity-one Branching Laws for Symmetric Pairs (2018) (0)
Restrictions of generalized Verma modules to symmetric pairs (2012) (0)
Application of Finite-Dimensional Representation Theory (2016) (0)
MAXIMAL SEMIGROUP SYMMETRY AND DISCRETE RIESZ TRANSFORMS TO THE MEMORY OF PROFESSOR GARTH GAUDRY (2015) (0)
Transmission-phase measurement of the 0.7 anomaly in a quantum point contact (2013) (0)

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