We show that a linear partial differential operator with constant coefficients P (D) is surjective
on the space of E-valued (ultra-) distributions over an arbitrary convex set if E′ is a nuclear …

Characterizations are given of those linear partial differential operators with constant
coefficients which admit a continuous linear right inverse on ε (ω () ω)) resp. ε [ω](Ω) and/or …

Estimates of Phragmén–Lindelöf (PL) type for plurisubharmonic functions on algebraic
varieties in $\mathbb {C}^ n $ have been of interest for a number of years because of their …

The local Phragmén-Lindelöf condition for analytic subvarieties of $\mathbb {C}^ n $ at real
points plays a crucial role in complex analysis and in the theory of constant coefficient partial …

The classical Phragm6n Lindel6f Theorem shows that subharmonic functions u (z) on the
complex plane with a given asymptotic linear rate of growth, u (z)< I z]+ o (Iz [), and a uniform …

Distributional complexes split for positive dimensions Page 1 J. reine angew. Math. 522 (2000),
63Ð79 Journal fuÈr die reine und angewandte Mathematik ( Walter de Gruyter Berlin Á New …

Let P be a complex polynomial in n variables of degree 2 and P (D) the corresponding
partial differential operator with constant coefficients. It is shown that P (D): C∞(ℝ n)→ …

We will show using purely linear functional analytic methods that each exact complex0→
F→(C∞(Ω)) s0→ p 0 (C∞(Ω)) s1→ p 1 (C∞(Ω)) s2→ p 2…, wherepiare matrices of …

Algebraic varieties V are investigated on which the natural analogue of the classical
Phragmén-Lindelöf principle for plurisubharmonic functions holds. For a homogeneous …

For P m∈₵ z 1,…, zn, homogeneous of degree m we investigate when the graph of P m in₵
n+ 1 satisfies the Phragmén-Lindelöf condition PL (ℝ n+ 1, log), or equivalently, when the …