52 citations · 123 across the 34 of their papers we have counts for
4 papers · 1 filter
Holomorphic Continuation via Laplace-Fourier series
O. Kounchev, H. Render
Let be the ball in the euclidean space with center 0 and radius and let be a complex-valued, infinitely differentiable function on We show…
Multidimensional Chebyshev Systems - just a definition
Ognyan Kounchev
We provide a definition of Multidimensional Chebyshev Systems of order N which is satisfied by the solutions of a wide class of elliptic equations of order 2N. This definition gene…
A moment problem for pseudo-positive definite functionals
Ognyan Kounchev, Hermann Render
A moment problem is presented for a class of signed measures which are termed pseudo-positive. Our main result says that for every pseudo-positive definite functional (subject to s…
Reconsideration of the multivariate moment problem and a new method for approximating multivariate integrals
Ognyan Kounchev, Hermann Render
Due to its intimate relation to Spectral Theory and Schrödinger operators, the multivariate moment problem has been a subject of many researches, so far without essential success (…