Polyharmonicity and algebraic support of measures

  title={Polyharmonicity and algebraic support of measures},
  author={Ognyan Kounchev and Hermann Render},
Our main result states that two signed measures µ andwith bounded support contained in the zero set of a polynomial P(x) are equal if they coincide on the subspace of all polynomials of polyharmonic degree NP where the natural number NP is explicitly computed by the properties of the polynomial P (x). The method of proof depends on a definition of a multivariate Markov transform which is another major objective of the present paper. The classical notion of orthogonal polynomial of sec- ond kind… CONTINUE READING
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