Global regularity for ordinary differential operators with polynomial coefficients. (English) Zbl 1300.47051
In this paper, the authors study a class of ordinary differential operators with polynomial coefficients. In the main result, they give a characterization of the operators belonging to this class, which are globally regular.
Reviewer: Raffaella Servadei (Arcavata di Rende)
MSC:
| 47E05 | General theory of ordinary differential operators |
| 35H10 | Hypoelliptic equations |
| 35S05 | Pseudodifferential operators as generalizations of partial differential operators |
Keywords:
ordinary differential operators; polynomial coefficients; global regularity; Puiseaux expansions; symmetric functions; elimination theory; microlocal reduction; microlocal factorisation; pseudodifferential calculusReferences:
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