Geodesic
Representations of groups in solution spaces of invariant differential equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 3, pp. 489-499

Voir la notice de l'article provenant de la source Math-Net.Ru

We present different versions of the definition of invariant differential equations and introduce the notion of a spectrum for these equations. We give examples of an explicit description of the spectrum and introduce sufficient conditions for discreteness of the spectrum. As an example, we consider the representations of the Heisenberg group in solution spaces of invariant differential equations.
Keywords: invariant differential equations, spectrum, Heisenberg group
Mots-clés : solution space. 
@article{TMF_2005_142_3_a1,
     author = {R. S. Ismagilov},
     title = {Representations of groups in solution spaces of invariant differential equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {489--499},
     publisher = {mathdoc},
     volume = {142},
     number = {3},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_142_3_a1/}
}
TY  - JOUR
AU  - R. S. Ismagilov
TI  - Representations of groups in solution spaces of invariant differential equations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2005
SP  - 489
EP  - 499
VL  - 142
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2005_142_3_a1/
LA  - ru
ID  - TMF_2005_142_3_a1
ER  - 
%0 Journal Article
%A R. S. Ismagilov
%T Representations of groups in solution spaces of invariant differential equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2005
%P 489-499
%V 142
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2005_142_3_a1/
%G ru
%F TMF_2005_142_3_a1
R. S. Ismagilov. Representations of groups in solution spaces of invariant differential equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 3, pp. 489-499. http://geodesic.mathdoc.fr/item/TMF_2005_142_3_a1/