• Corpus ID: 233181564

Polynomials associated to non-convex bodies

  title={Polynomials associated to non-convex bodies},
  author={Norman Levenberg and Franck Wielonsky},
Polynomial spaces associated to a convex body C in (R+)d have been the object of recent studies. In this work, we consider polynomial spaces associated to non-convex C. We develop some basic pluripotential theory including notions of C−extremal plurisubharmonic functions VC,K for K ⊂ Cd compact. Using this, we discuss Bernstein-Walsh type polynomial approximation results and asymptotics of random polynomials in this non-convex setting. 



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