Abstract
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.
Citation Formats
El-Hussein, K.
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.
IAEA: N. p.,
1991.
Web.
El-Hussein, K.
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.
IAEA.
El-Hussein, K.
1991.
"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."
IAEA.
@misc{etde_10113327,
title = {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}
author = {El-Hussein, K}
abstractNote = {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.}
place = {IAEA}
year = {1991}
month = {Aug}
}
title = {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}
author = {El-Hussein, K}
abstractNote = {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.}
place = {IAEA}
year = {1991}
month = {Aug}
}