Geodesic
Solution of the~support problem for several function classes
Sbornik. Mathematics, Tome 188 (1997) no. 9, pp. 1279-1294

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

Several classes of functions with zero integrals over all balls of a fixed radius are studied. A description of functions in such classes as series in special functions is obtained and a theorem on a removable singularity is proved. These results make it possible to solve completely the support problem for several classes of functions with zero ball averages. As a consequence, a far-reaching generalization of the well-known Zalcman's two-radii theorem is obtained. 
@article{SM_1997_188_9_a1,
     author = {V. V. Volchkov},
     title = {Solution of the~support problem for several function classes},
     journal = {Sbornik. Mathematics},
     pages = {1279--1294},
     publisher = {mathdoc},
     volume = {188},
     number = {9},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1997_188_9_a1/}
}
TY  - JOUR
AU  - V. V. Volchkov
TI  - Solution of the~support problem for several function classes
JO  - Sbornik. Mathematics
PY  - 1997
SP  - 1279
EP  - 1294
VL  - 188
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1997_188_9_a1/
LA  - en
ID  - SM_1997_188_9_a1
ER  - 
%0 Journal Article
%A V. V. Volchkov
%T Solution of the~support problem for several function classes
%J Sbornik. Mathematics
%D 1997
%P 1279-1294
%V 188
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1997_188_9_a1/
%G en
%F SM_1997_188_9_a1
V. V. Volchkov. Solution of the~support problem for several function classes. Sbornik. Mathematics, Tome 188 (1997) no. 9, pp. 1279-1294. http://geodesic.mathdoc.fr/item/SM_1997_188_9_a1/