52 citations · 123 across the 34 of their papers we have counts for
6 papers · 1 filter
Polyharmonicity and algebraic support of measures
Ognyan Kounchev, Hermann Render
We introduce a multivariate Markov transform which generalizes the well-known one-dimensional Stieltjes transform from the Moment problem and Spectral theory. Our main result state…
Padé approximation for a multivariate Markov transform
Ognyan Kounchev, Hermann Render
Methods of Padé approximation are used to analyse a multivariate Markov transform which has been recently introduced by the authors, and which is generalizing the well-known in Spe…
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 spaces, hierarchy of infinite-dimensional spaces and Kolmogorov-Gelfand widths
O. Kounchev
Recently the theory of widths of Kolmogorov (especially of Gelfand widths) has received a great deal of interest due to its close relationship with the newly born area of Compresse…
On a hierarchy of infinite-dimensional spaces and related Kolmogorov-Gelfand widths
Ognyan Kounchev
Recently the theory of widths of Kolmogorov-Gelfand has received a great deal of interest due to its close relationship with the newly born area of Compressed Sensing. It has been…
Infinite-dimensional generalization of Kolmogorov widths
Ognyan Kounchev
Recently the theory of widths of Kolmogorov-Gelfand has received a great deal of interest due to its close relationship with the newly born area of Compressive Sensing in Signal Pr…