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math.CV2012★ 3 cited
Polyharmonic Hardy Spaces on the Klein-Dirac Quadric with Application to Polyharmonic Interpolation and Cubature Formulas
Ognyan Kounchev, Hermann Render
In the present paper we introduce a new concept of Hardy type space naturally defined on the Klein-Dirac quadric. We study different properties of the functions belonging to these…
math.CV2011
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…