Remarks on Boundary Values for Temperate Distribution Solutions to Regular-Specializable Systems

J. Math. Sci. Univ. Tokyo
Vol. 17 (2010), No. 3, Page 267--301.

Yamazaki, Susumu
Remarks on Boundary Values for Temperate Distribution Solutions to Regular-Specializable Systems
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]


Abstract:
For temperate distribution solutions to regular-spe\-cializable systems of analytic linear differential equations, boundary value problems are formulated in the framework of algebraic analysis. Moreover, under a certain hyperbolicity condition, the solvability theorems are discussed for some classes.

Keywords: Right quasigroups, $PSL(2,\R)$, Borel subgroups.

Mathematics Subject Classification (2010): Primary 32C38; Secondary 35A27, 35G15, 58J32.
Received: 2010-05-07