4 papers
Completeness of the exponential system in geometric terms of width, breadth and diameter
B. N. Khabibullin, E. G. Kudasheva, A. E. Salimova
We establish a criterion for the completeness of an exponential system in the spaces of functions continuous on a convex compact set and holomorphic in the interior of this compact…
The growth of entire functions of exponential type and characteristics of distributions of points along a straight line
A. E. Salimova, B. N. Khabibullin
Let and be a pair of point distributions of finite upper density on the complex plane with the real axis . We give several variants of necessary and…
On the Malliavin-Rubel theorem on small entire functions of exponential type with given zeros
A. E. Salimova, B. N. Khabibullin
In the early 1960s, P. Malliavin and L. A. Rubel gave a complete description of pairs of distributions of positive points and such that for each entire function of exponent…
Generalization and development of the Malliavin-Rubel theorem on small entire functions of exponential type with given zeros
B. N. Khabibullin, A. E. Salimova
Previously, we developed the technique of balayage of measures or charges and (-)subharmonic functions of finite order onto an closed system of rays with a vertex at zero on…