By Masaki Kashiwara,Takahiro Kawai

Algebraic research: Papers devoted to Professor Mikio Sato at the social gathering of his sixtieth Birthday, quantity I is a suite of analysis papers on algebraic research and comparable subject matters in honor to Professor Mikio Sato’s sixtieth birthday.

This quantity consists of 35 chapters and starts off with papers relating Sato’s early occupation in algebraic research. The succeeding chapters take care of examine works at the lifestyles of neighborhood holomorphic ideas, the holonomic q-difference platforms, partial differential equations, and the homes of solvable versions. different chapters discover the basics of hypergeometric services, the Toda lattice within the complicated area, the Lie algebras, b-functions, p-adic integrals, analytic parameters of hyperfunctions, and a few applicatioins of microlocal power ways to analytic hypoeellipticity. This quantity additionally offers reports at the complicated powers of p-adic fields, operational calculus, extensions of microfunction sheaves as much as the boundary, and the irregularity of holonomic modules. The final chapters function study works on blunders research of quadrature formulation bought by way of variable transformation and the analytic useful at the complicated gentle cone, in addition to their Fourier-Borel transformations.

This publication will end up precious to mathematicians and enhance arithmetic students.

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