%AEl-Hussein, K
%D1991
%I; International Centre for Theoretical Physics (ICTP), Trieste (Italy)
%J
%K71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS, DYNAMICAL GROUPS, MATHEMATICAL OPERATORS, LIE GROUPS, FOURIER TRANSFORMATION, IRREDUCIBLE REPRESENTATIONS, 661300, OTHER ASPECTS OF PHYSICAL SCIENCE
%PMedium: X; Size: 40 p.
%THarmonic analysis and global solvability of a differential operator invariant on motion groups and semi-simple Lie groups; Analyse harmonique et resolubilite globale d`un operateur differentiel invariant sur les groupes de deplacements et groupes de Lie semi-simples
%XLet V be a real finite dimensional vector space and let K be a connected compact Lie group, which acts on V by means of a continuous linear representation {rho}. Let G=V x{sub p} K be the motion group which is the semi-direct product of V by K and let P be an invariant differential operator on G. In this paper we give a necessary and sufficient condition for the global solvability of P on G. Now let G be a connected semi-simple Lie group with finite centre and let P be an invariant differential operator on G. We give also a necessary and sufficient condition for the global solvability of P on G. (author). 8 refs.
%0Technical Report
IAEA Other: ON: DE92615231; TRN: XA9130248015351 INIS French