Differential inequalities on Banach spaces of entire functions. II (Q1324846)

The author proves differential inequalities for elliptic operators with real coefficients of the form \[ \sum^ n_{k,l= 1} a_{kl} D_ k D_ l+ \sum^ n_{m= 1} a_ m D_ m+ \alpha J, \] where \(J\) is a unitary operator and \(D_ m= (l/i) \partial/\partial x_ m\), \(m= 1,\dots, n\) in \(B_ K\). Here \(B_ K\), \(K\) compact \(\subset \mathbb{R}^ n\), denotes the set of entire functions in \(n\) variables of exponential type \(K\) which are bounded on \(\mathbb{R}^ n\) and whose Fourier transforms as distributions are supported on \(K\).