Algebraic Analysis
Papers Dedicated to Professor Mikio Sato on the Occasion of His Sixtieth Birthday
Published on 10. May 2014
494 pages
978-1-4832-6802-6 (ISBN)
Description
Algebraic Analysis: Papers Dedicated to Professor Mikio Sato on the Occasion of his 60th Birthday, Volume I is a collection of research papers on algebraic analysis and related topics in honor to Professor Mikio Sato's 60th birthday. This volume is composed of 35 chapters and begins with papers concerning Sato's early career in algebraic analysis. The succeeding chapters deal with research works on the existence of local holomorphic solutions, the holonomic q-difference systems, partial differential equations, and the properties of solvable models. Other chapters explore the fundamentals of hypergeometric functions, the Toda lattice in the complex domain, the Lie algebras, b-functions, p-adic integrals, analytic parameters of hyperfunctions, and some applicatioins of microlocal energy methods to analytic hypoeellipticity. This volume also presents studies on the complex powers of p-adic fields, operational calculus, extensions of microfunction sheaves up to the boundary, and the irregularity of holonomic modules. The last chapters feature research works on error analysis of quadrature formulas obtained by variable transformation and the analytic functional on the complex light cone, as well as their Fourier-Borel transformations. This book will prove useful to mathematicians and advance mathematics students.
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Masaki Kashiwara | Tadahiko Kawai
Prospect of Algebraic Analysis: v. 1
Papers Dedicated to Professor Mikio Sato
Book
01/1988
Academic Press
€92.39
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Content
Contents of Volume IIContributorsIntroductionThree Personal ReminiscencesMikio Sato: ImpressionsSato, A PerfectionistExistence of Local Holomorphic Solutions of Differential Equations of Infinite OrderA Note on Holonomic q-Difference SystemsSolvable Models in Statistical Mechanics and Riemann Surfaces of Genus Greater than OneLinearization and Singular Partial Differential EquationsOn the Notions of Scattering State, Potential, and Wave-Function in Quantum Field Theory: An Analytic-Functional ViewpointTwo Remarks on Recent Developments in Solvable ModelsHypergeometric FunctionsQuantization of Lie Groups and Lie AlgebrasThe Toda Lattice in the Complex DomainZoll Phenomena in (2 + 1) DimensionsA Proof of the Bott InequalitiesWhat is the Notion of a Complex Manifold with a Smooth Boundary?Toda Molecule EquationsMicrolocal Analysis and Scattering in Quantum Field Theoriesb-Functions and p-Adic IntegralsOn the Poles of the Scattering Matrix for Several Convex BodiesSymmetric Tensors of the A(1)n-1 FamilyOn Hyperfunctions with Analytic ParametersThe Invariant Holonomic System on a Semisimple Lie GroupSome Applications of Microlocal Energy Methods to Analytic HypoellipticityA Proof of the Transformation Formula of the Theta-FunctionsMicrolocal Analysis of Infrared SingularitiesOn the Global Existence of Real Analytic Solutions of Systems of Linear Differential EquationsComplex Powers on p-Adic Fields and a Resolution of SingularitiesOperational Calculus, Hyperfunctions, and UltradistributionsOn a Conjectural Equation of Certain Kinds of SurfacesVanishing Cycles and Second MicrolocalizationExtensions of Microfunction Sheaves Up to the BoundaryExtension of Holonomic ??-ModulesOn the Irregularity of the ??x Holonomic ModulesAn Error Analysis of Quadrature Formulas Obtained by Variable TransformationAnalytic Functionals on the Complex Light Cone and their Fourier-Borel TransformationsA p-Adic Theory of Hyperfunctions, II
