Geodesic
Invariant subspaces of some function spaces on symmetric spaces.~I
Izvestiya. Mathematics , Tome 59 (1995) no. 5, pp. 1007-1050

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

The article describes the construction of closed linear subspaces of some function spaces on the symmetric space $M=\operatorname{SU}(n,1)/U(n)$ that are invariant with respect to the natural quasiregular representation of the group $\operatorname{SU}(n,1)$. The function spaces considered include, in particular, the spaces $C^d(M)$ $(d=0,1,\dots,\infty)$ and spaces of functions of exponential growth on $M$. 
@article{IM2_1995_59_5_a8,
     author = {S. S. Platonov},
     title = {Invariant subspaces of some function spaces on symmetric {spaces.~I}},
     journal = {Izvestiya. Mathematics },
     pages = {1007--1050},
     publisher = {mathdoc},
     volume = {59},
     number = {5},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1995_59_5_a8/}
}
TY  - JOUR
AU  - S. S. Platonov
TI  - Invariant subspaces of some function spaces on symmetric spaces.~I
JO  - Izvestiya. Mathematics 
PY  - 1995
SP  - 1007
EP  - 1050
VL  - 59
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1995_59_5_a8/
LA  - en
ID  - IM2_1995_59_5_a8
ER  - 
%0 Journal Article
%A S. S. Platonov
%T Invariant subspaces of some function spaces on symmetric spaces.~I
%J Izvestiya. Mathematics 
%D 1995
%P 1007-1050
%V 59
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1995_59_5_a8/
%G en
%F IM2_1995_59_5_a8
S. S. Platonov. Invariant subspaces of some function spaces on symmetric spaces.~I. Izvestiya. Mathematics , Tome 59 (1995) no. 5, pp. 1007-1050. http://geodesic.mathdoc.fr/item/IM2_1995_59_5_a8/