Boundary value problems for Whittaker functions on real split semisimple Lie groups
Let G be a connected real split semisimple Lie group with finite center, and let \(G=KAN\) be an Iwasawa decomposition. Denote by B(G) the space of hyperfunctions on G. If \(\psi\) is a character of N, the space of Whittaker hyperfunctions B(G/N,\(\psi)\) is defined as \(\{\) \(f\in B(G)\), \(f(gn)=\psi (n)f(g)\) for \(g\in G\), \(n\in N\}\). The author studies the structure of the space of Whittaker hyperfunctions, using Oshima's generalization of the notion of differential equations with regular singularities and their boundary values.
differential equations with regular singularities
scientific article; zbMATH DE number 4006558
scientific article