Geodesic
Selfadjoint differential operators with an~infinite number of independent variables
Sbornik. Mathematics, Tome 25 (1975) no. 2, pp. 259-275

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

In this paper a new method of definition of differential operators with an infinite number of independent variables is proposed, and an analysis of the selfadjointness in the corresponding Hilbert spaces is carried out. Certain spectral properties of such operators are also investigated. In contrast with previous analyses, the spaces of functions of an infinite number of variables in which the operators being studied act are, in general, not infinite tensor products of spaces of functions of a finite number of variables. Bibliography: 5 titles. 
@article{SM_1975_25_2_a4,
     author = {A. V. Marchenko},
     title = {Selfadjoint differential operators with an~infinite number of independent variables},
     journal = {Sbornik. Mathematics},
     pages = {259--275},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {1975},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1975_25_2_a4/}
}
TY  - JOUR
AU  - A. V. Marchenko
TI  - Selfadjoint differential operators with an~infinite number of independent variables
JO  - Sbornik. Mathematics
PY  - 1975
SP  - 259
EP  - 275
VL  - 25
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1975_25_2_a4/
LA  - en
ID  - SM_1975_25_2_a4
ER  - 
%0 Journal Article
%A A. V. Marchenko
%T Selfadjoint differential operators with an~infinite number of independent variables
%J Sbornik. Mathematics
%D 1975
%P 259-275
%V 25
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1975_25_2_a4/
%G en
%F SM_1975_25_2_a4
A. V. Marchenko. Selfadjoint differential operators with an~infinite number of independent variables. Sbornik. Mathematics, Tome 25 (1975) no. 2, pp. 259-275. http://geodesic.mathdoc.fr/item/SM_1975_25_2_a4/