TY - RPRT
TI - Harmonic 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
AB - Let 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.
AU - El-Hussein, K
KW - 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
KW - DYNAMICAL GROUPS
KW - MATHEMATICAL OPERATORS
KW - LIE GROUPS
KW - FOURIER TRANSFORMATION
KW - IRREDUCIBLE REPRESENTATIONS
KW - 661300
KW - OTHER ASPECTS OF PHYSICAL SCIENCE
DO -
UR -
PB -
CY - IAEA
PY - 1991
DA - 1991-08-01
LA - French
J2 -
C1 - International Centre for Theoretical Physics (ICTP), Trieste (Italy)
C2 -
ER -