Geodesic
Extremal properties of sequences of zeros of analytic functions in spaces with mixed norm
Sbornik. Mathematics, Tome 202 (2011) no. 8, pp. 1085-1103

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

Functions whose sequences of absolute values of zeros have certain extremal properties are constructed in Bergmann spaces with powerlike weight and in more general spaces with mixed norm. These properties can be expressed in terms of subsequences with indices satisfying certain necessary and sufficient conditions. In particular, using these functions it is possible to distinguish between the zero sets of the spaces in question in some cases which have not previously been investigated. This reveals the significant role which subsequences of zeros in general play in the solution of this type of problems. Bibliography: 8 titles.
Keywords: Bergmann spaces, zeros of analytic functions. 
@article{SM_2011_202_8_a0,
     author = {A. A. Dolgoborodov and E. A. Sevast'yanov},
     title = {Extremal properties of sequences of zeros of analytic functions in spaces with mixed norm},
     journal = {Sbornik. Mathematics},
     pages = {1085--1103},
     publisher = {mathdoc},
     volume = {202},
     number = {8},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2011_202_8_a0/}
}
TY  - JOUR
AU  - A. A. Dolgoborodov
AU  - E. A. Sevast'yanov
TI  - Extremal properties of sequences of zeros of analytic functions in spaces with mixed norm
JO  - Sbornik. Mathematics
PY  - 2011
SP  - 1085
EP  - 1103
VL  - 202
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2011_202_8_a0/
LA  - en
ID  - SM_2011_202_8_a0
ER  - 
%0 Journal Article
%A A. A. Dolgoborodov
%A E. A. Sevast'yanov
%T Extremal properties of sequences of zeros of analytic functions in spaces with mixed norm
%J Sbornik. Mathematics
%D 2011
%P 1085-1103
%V 202
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2011_202_8_a0/
%G en
%F SM_2011_202_8_a0
A. A. Dolgoborodov; E. A. Sevast'yanov. Extremal properties of sequences of zeros of analytic functions in spaces with mixed norm. Sbornik. Mathematics, Tome 202 (2011) no. 8, pp. 1085-1103. http://geodesic.mathdoc.fr/item/SM_2011_202_8_a0/