Search for dissertations about: "Sean Dineen"

Found 1 swedish dissertation containing the words Sean Dineen.

2. 1. Infinite dimensional holomorphy in the ring of formal power series : partial differential operators

   Author : Henrik Petersson; Andrei Khrennikov; Sean Dineen; Växjö universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Infinite dimensional holomorphy; Formal power series; Fourier-Borel transform; Paley-Wiener theorem; Fischer decomposition; Fischer pair; Fock space; Cauchy-Problem; Kergin operator; PDE-preserving; Pseudo-differential operators.; MATHEMATICS; MATEMATIK;

   Abstract : We study holomorphy in the ring of formal power series in an infinite number of variables. Thus we restrict our study to (infinite dimensional) holomorphy on sequence spaces and we show that we obtain a rich theory without requiring any topological structure on the domain space. We make a comprehensive PDO-study for the spaces under consideration. READ MORE