Holonomic Systems of Linear Differential Equations and Feynman Integrals

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概要

• 論文の詳細を見る
• 京都大学の論文

著者

• KAWAI TAKAHIRO

  Research Institute for Mathematical Sciences, Kyoto University

• Kawai Takahiro

  Research Institute For Mathematical Sciences Kyoto University

• KASHIWARA Masaki

  Research Institute for Mathematical Sciences, Kyoto University

• Kashiwara Masaki

  Research Institute For Mathematical Sciences Kyoto University

• KAWAI Takahiro

  Research Institute for Mathematical Sciences

関連論文

• On the Boundary Value of a Solution of the Heat Equation
• Professor Mikio Sato and Microlocal Analysis
• Monodromy Structure of Solutions of Holonomic Systems of Linear Differential Equations is Invariant under the Deformation of the System
• SYMMETRIC CRYSTALS AND LLTA TYPE CONJECTURES FOR THE AFFINE HECKE ALGEBRAS OF TYPE B (Combinatorial Representation Theory and Related Topics)
• Holonomic Systems of Linear Differential Equations and Feynman Integrals
• On Holonomic Systems for $\displaystyle\Pi_{\imath=1}^{N}(f_1+\sqrt{-1}0)^\lambda \iota $
• Micro-Analytic Structure of the $\textit{S}$-Matrix and Related Functions
• The Riemann-Hilbert Problem for Holonomic Systems
• On Holonomic Systems of Micro-differential Equations. III-Systems with Regular Singularities-
• Microlocal Analysis
• Quasi-Periodic Solutions of the Orthogonal KP Equation-Transformation Groups for Soliton Equations V-
• Transformation Groups for Soliton Equations-Euclidean Lie Algebras and Reduction of the KP Hierarchy-
• KP Hierarchies of Orthogonal and Symplectic Type : Transformation Groups for Soliton Equations VI
• Operator Approach to the Kadomtsev-Petviashvili Equation : Transformation Groups for Soliton Equations III
• The Asymptotic Behavior of a Variation of Polarized Hodge Structure
• Micro-hyperbolic pseudo-differential operators I
• Structure of a single pseudo-differential equation in a real domain
• Discontinity Formula and Sato's Conjecture
• On the global existence of real analytic solutions of linear differential equations (I)
• On the global existence of real analytic solutions of linear differential equations (II)
• Microlocal analysis of massless singularities(Complex Analysis and Differential Equations)
• Half of the Toulouse Project Part 5 is Completed : Structure Theorem for Instanton-Type Solutions of $(P_J)_m$ (J = I,II or IV) near a Simple $P$-Turning Point of the First Kind (Algebraic Analysis and the Exact WKB Analysis for Systems of Differential Eq
• WKB analysis and deformation of Schrodinger equations
• Extended Landau Variety and the Singularity Spectrum of Position-Space Feynman Amplitudes
• Poisson's Summation Formula and Hamburger's Theorem
• Microlocal Properties of Local Elementary Solutions for Cauchy Problems for a Class of Hyperbolic Linear Differential Operators
• Extension of Solutions of Systems of Linear Differential Equations
• Finite-Dimensional Representations of Quantum Affine Algebras
• A Study of Variation of Mixed Hodge Structure
• Biadjointness in Cyclotomic Khovanov–Lauda–Rouquier Algebras
• Theory of Vector-Valued Hyperfunctions
• The Poincare Lemma for Variations of Polarized Hodge Structure
• Invariant Sheaves
• Level Zero Fundamental Representations over Quantized Affine Algebras and Demazure Modules

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