Geodesic
On the necessary and sufficient conditions for the measurability of a positive sequence
Problemy analiza, Tome 8 (2019) no. 3, pp. 63-72

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

The work is devoted to finding out the necessary and sufficient conditions for the measurability of a sequence of positive numbers. The concept of logarithmic measurability of a sequence is also introduced. It is assumed that the considered sequences form a sequence of zeros of some entire function of exponential type. Therefore, clarification of this question can be useful in solving the problem of completeness of the system of exponents or exponential monomials in some convex domain. Such characteristics of the sequence as lower and upper densities, minimum and maximum densities, lower and upper logarithmic block densities play an important role.
Keywords: upper density, maximal density, logarithmic block density, zeros of entire function. 
@article{PA_2019_8_3_a5,
     author = {A. F. Kuzhaev},
     title = {On the necessary and sufficient conditions for the measurability of a positive sequence},
     journal = {Problemy analiza},
     pages = {63--72},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2019_8_3_a5/}
}
TY  - JOUR
AU  - A. F. Kuzhaev
TI  - On the necessary and sufficient conditions for the measurability of a positive sequence
JO  - Problemy analiza
PY  - 2019
SP  - 63
EP  - 72
VL  - 8
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PA_2019_8_3_a5/
LA  - en
ID  - PA_2019_8_3_a5
ER  - 
%0 Journal Article
%A A. F. Kuzhaev
%T On the necessary and sufficient conditions for the measurability of a positive sequence
%J Problemy analiza
%D 2019
%P 63-72
%V 8
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PA_2019_8_3_a5/
%G en
%F PA_2019_8_3_a5
A. F. Kuzhaev. On the necessary and sufficient conditions for the measurability of a positive sequence. Problemy analiza, Tome 8 (2019) no. 3, pp. 63-72. http://geodesic.mathdoc.fr/item/PA_2019_8_3_a5/