What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Pure mathematics
- Algebra
Toshiyuki Kobayashi mainly investigates Pure mathematics, Unitary representation, Lie group, Algebra and -module.
His Pure mathematics study combines topics from a wide range of disciplines, such as Discrete group, Group, Mathematical analysis and Homogeneous space.
His Group research is multidisciplinary, relying on both Type, Subalgebra, Hilbert space, Reductive group and Rank.
His studies in Unitary representation integrate themes in fields like Induced representation, Conformal geometry and Lie algebra.
The various areas that Toshiyuki Kobayashi examines in his Algebra study include Unitary state and Line bundle.
Toshiyuki Kobayashi integrates -module with Discrete mathematics in his study.
His most cited work include:
- Discrete decomposability of the restriction of A q (λ) with respect to reductive subgroups and its applications (161 citations)
- Proper action on a homogeneous space of reductive type (122 citations)
- Discrete decomposability of the restriction of Aq(λ) with respect to reductive subgroupsIII. Restriction of Harish-Chandra modules and associated varieties (121 citations)
What are the main themes of his work throughout his whole career to date?
His primary scientific interests are in Pure mathematics, Algebra, Lie group, Mathematical analysis and Combinatorics.
His study in Pure mathematics is interdisciplinary in nature, drawing from both Discrete mathematics, Discrete group, Unitary state and Homogeneous space.
In his research on the topic of Algebra, Lie algebra and Semigroup is strongly related with Holomorphic function.
His work on Unitary representation as part of general Lie group study is frequently linked to -module and Double coset, bridging the gap between disciplines.
His -module research includes themes of Representation theory of SU and Restricted representation.
His work on Dimension is typically connected to Indefinite orthogonal group as part of general Combinatorics study, connecting several disciplines of science.
He most often published in these fields:
- Pure mathematics (70.00%)
- Algebra (23.16%)
- Lie group (18.95%)
What were the highlights of his more recent work (between 2017-2021)?
- Pure mathematics (70.00%)
- Irreducible representation (10.00%)
- Automorphic form (8.95%)
In recent papers he was focusing on the following fields of study:
Toshiyuki Kobayashi mainly investigates Pure mathematics, Irreducible representation, Automorphic form, Combinatorics and Backslash.
Toshiyuki Kobayashi has included themes like Representation, Homogeneous space and Covariant transformation in his Pure mathematics study.
His work deals with themes such as Infinitesimal character, Unitary state, State, Center and Rank, which intersect with Irreducible representation.
His Combinatorics study integrates concerns from other disciplines, such as Principal series representation and Section.
His study in Backslash is interdisciplinary in nature, drawing from both Differential operator and Invariant.
His Lie group research incorporates elements of Multiplicity, Nilpotent and Symplectic geometry.
Between 2017 and 2021, his most popular works were:
- Differential Symmetry Breaking Operators (8 citations)
- Inversion of Rankin–Cohen operators via Holographic Transform (3 citations)
- Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group O(p,q) (3 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Pure mathematics
The scientist’s investigation covers issues in Pure mathematics, Differential operator, Homogeneous space, Invariant and Irreducible representation.
His Lie group and Differential form study in the realm of Pure mathematics connects with subjects such as Hyperbolic manifold.
His Lie group study combines topics from a wide range of disciplines, such as Representation, Type, Algebraic number, Generic point and Abelian group.
His Differential operator research integrates issues from Discrete group, Eigenvalues and eigenvectors, Subalgebra, Backslash and Laplace operator.
Toshiyuki Kobayashi combines topics linked to Combinatorics with his work on Homogeneous space.
His Irreducible representation research is multidisciplinary, relying on both Infinitesimal character, Invertible matrix, Bilinear form, State and Center.
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