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Global solvability of the differential operators non-invariants on semi-simple Lie groups; Resolubilite globale des operateurs differentiels non invariants sur des groupes de Lie semi-simples

Abstract

Let G be a connected semi-simple Lie group with finite centre and let G=KAN be the Iwasawa decomposition of G. Let P be a differential operator on G, which is right invariant by the sub-group AN and left invariant by the sub-group K. In this paper, we give a necessary and sufficient condition for the global solvability of P on G. (author). 5 refs.
Authors:
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/275
Reference Number:
SCA: 661100; PA: AIX-23:055065; SN: 92000775139
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; LIE GROUPS; MATHEMATICAL OPERATORS; INVARIANT IMBEDDING; MATHEMATICAL SPACE; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10157721
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
French
Other Identifying Numbers:
Other: ON: DE92636737; TRN: XA9231159055065
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
15 p.
Announcement Date:
Jul 06, 2005

Citation Formats

El Hussein, K. Global solvability of the differential operators non-invariants on semi-simple Lie groups; Resolubilite globale des operateurs differentiels non invariants sur des groupes de Lie semi-simples. IAEA: N. p., 1991. Web.
El Hussein, K. Global solvability of the differential operators non-invariants on semi-simple Lie groups; Resolubilite globale des operateurs differentiels non invariants sur des groupes de Lie semi-simples. IAEA.
El Hussein, K. 1991. "Global solvability of the differential operators non-invariants on semi-simple Lie groups; Resolubilite globale des operateurs differentiels non invariants sur des groupes de Lie semi-simples." IAEA.
@misc{etde_10157721,
title = {Global solvability of the differential operators non-invariants on semi-simple Lie groups; Resolubilite globale des operateurs differentiels non invariants sur des groupes de Lie semi-simples}
author = {El Hussein, K}
abstractNote = {Let G be a connected semi-simple Lie group with finite centre and let G=KAN be the Iwasawa decomposition of G. Let P be a differential operator on G, which is right invariant by the sub-group AN and left invariant by the sub-group K. In this paper, we give a necessary and sufficient condition for the global solvability of P on G. (author). 5 refs.}
place = {IAEA}
year = {1991}
month = {Sep}
}