Extremal Solutions of the Two-dimensional L-problem of Moments, Ii

  title={Extremal Solutions of the Two-dimensional L-problem of Moments, Ii},
  author={Mihai Putinar},
All extremal solutions of the truncated L-problem of moments in two real variables , with support contained in a given compact set, are described as characteristic functions of semi-algebraic sets given by a single polynomial inequality. An exponential kernel, arising as the determinantal function of a naturally associated hyponormal operator with rank-one self-commutator, provides a natural defining function for these semi-algebraic sets. We find an intrinsic characterization of this kernel… CONTINUE READING
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  • P. Davis, The Schwarz function, its applications, Carus Math. Mono. vol
  • Math. Assoc. of America,
  • 1974
Highly Influential
4 Excerpts

The Schwarz function and its generalization to higher dimensions, Univ

  • H. S. Sh Shapiro
  • Arkansas Lect. Notes Math. vol
  • 1992

Quadrature identities and the Schottky double

  • B. Gu Gustafsson
  • Acta Appl. Math
  • 1983


  • Sakai.M., Quadrature domains, Lect. Notes Math. vol
  • Springer, Berlin,
  • 1982
1 Excerpt

An exponential formula for determining functions

  • R. W. CP Carey, J. D. Pincus
  • Indiana Univ. Math. J. 23(1974),
  • 1974

Griffin’s Statistical Monographs and Courses

  • H. J. Godwin, Inequalities on Distribution Functions
  • Hafner, New York,
  • 1964
2 Excerpts

The ideas of P.L. Chebyshev and A.A.Markov in the theory of limiting values of integrals and their further developments (in Russian)

  • M. G. K Krein
  • Uspehi Mat. Nauk
  • 1951

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