| In this thesis, we will study the linear partial differential
operators (P(D)) with constant coefficients admitting a continuous linear
right inverse in the space of D'(W)
or E(W) where W
is an open subset of Rn. In this case W
is called P- convex with bounds. We will also study the properties of the
boundary of W related
with the conditions for P- convexity. We investigate the relationship between
P- convexity with bounds and Phragmen – Lindelöf condition on the zero
variety of P.
Key words: Differential operator , Right inverse, P- convexity with bounds, Phragmen- Lindelöf condition. |