Browsing by Author "Putinar, M."

Now showing items 1-4 of 4

    • Article  

      Bergman orthogonal polynomials on an archipelago 

      Gustafsson, B.; Putinar, M.; Saff, E. B.; Stylianopoulos, Nikos S. (2008)
      Growth estimates for orthogonal polynomials with respect to area measure (Bergman polynomials) over the union of finitely many Jordan regions with piecewise smooth boundary are obtained by a careful investigation of the ...
    • Article  

      Bergman polynomials on an archipelago: Estimates, zeros and shape reconstruction 

      Gustafsson, B.; Putinar, M.; Saff, E. B.; Stylianopoulos, Nikos S. (2009)
      Growth estimates of complex orthogonal polynomials with respect to the area measure supported by a disjoint union of planar Jordan domains (called, in short, an archipelago) are obtained by a combination of methods of ...
    • Article  

      Finite-term relations for planar orthogonal polynomials 

      Putinar, M.; Stylianopoulos, Nikos S. (2007)
      We prove by elementary means that, if the Bergman orthogonal polynomials of a bounded simply-connected planar domain, with sufficiently regular boundary, satisfy a finite-term relation, then the domain is algebraic and ...
    • Article  

      Open problems in constructive function theory 

      Baratchart, L.; Martínez-Finkelshtein, A.; Jimenez, D.; Lubinsky, D. S.; Mhaskar, H. N.; Pritsker, I.; Putinar, M.; Stylianopoulos, Nikos S.; Totik, V.; Varju, P.; Xu, Y. (2006)
      A number of open problems on constructive function theory are presented. These were submitted by participants of Constructive Function Theory Tech-04. Copyright © 2006, Kent State University.