No abstract

Let ν ≥ −1/2 and (ρ k ) k∈N be a sequence of nonzero complex numbers such that ρof Bessel functions of the first kind of index ν ≥ −1/2 is exact (i.e. complete and minimal) in the space L 2 (0; 1), then its biorthogonal system is also exact in L 2 (0; 1).

No abstract

In this paper, we study an integral representation of one class of entire functions. Conditions for the existence of this representation in terms of certain solutions of some differential equations are found. We obtain asymptotic estimates of entire functions from the considered class of functions. We also give examples of entire functions from this class

Using the Fourier series method for entire functions, we investigate the asymptotic behavior of averaging of entire functions of improved regular growth.