3 papers
math.CV2018
Interpolation by sums of series of exponentials and global cauchy problem for convolution operators
Sergey Georgievich Merzlyakov, Sergey Victorovich Popenov
The study is made of the problem of multiple interpolation on an infinite nodes set by the sums of absolutely convergent series of exponentials whose exponents are from a given set…
math.CV2016
Interpolation by sums of the series of exponentials in with interpolation nodes on the rays
S. G. Merzlyakov, S. V. Popenov
In the space of all entire functions it is solved the problem of interpolation taking into account multiplicities by sums of the series of exponentials with the exponents from a gi…
math.CV2014
Interpolation by means of series of exponentials in H(D) with real nodes
S. G. Merzlyakov, S. V. Popenov
In the space of holomorphic functions in a convex domain it is studied the interpolation problem by means of sums of the series of exponentials converging uniformly on all compact…