ar X iv : 0 80 1 . 37 54 v 2 [ m at h . A G ] 9 J ul 2 00 8 Representation of nonnegative convex polyno - mials
نویسنده
چکیده
We provide a specific representation of convex polynomials nonnegative on a convex (not necessarily compact) basic closed semi-algebraic set K ⊂ Rn. Namely, they belong to a specific subset of the quadratic module generated by the concave polynomials that define K. Mathematics Subject Classification (2000). Primary 14P10; Secondary 11E25 12D15 90C25.
منابع مشابه
ar X iv : 0 80 7 . 13 51 v 1 [ m at h . C A ] 8 J ul 2 00 8 NONSYMMETRIC INTERPOLATION MACDONALD POLYNOMIALS AND gl n BASIC HYPERGEOMETRIC SERIES
The Knop–Sahi interpolation Macdonald polynomials are inho-mogeneous and nonsymmetric generalisations of the well-known Macdonald polynomials. In this paper we apply the interpolation Macdonald polyno-mials to study a new type of basic hypergeometric series of type gl n. Our main results include a new q-binomial theorem, new q-Gauss sum, and several transformation formulae for gl n series.
متن کاملar X iv : 0 80 7 . 00 58 v 1 [ m at h . D G ] 1 J ul 2 00 8 EQUIVARIANT DIFFERENTIAL CHARACTERS AND SYMPLECTIC REDUCTION
We describe equivariant differential characters (classifying equi-variant circle bundles with connections), their prequantization, and reduction.
متن کاملar X iv : m at h - ph / 0 50 80 18 v 1 8 A ug 2 00 5 On The Exponential of Matrices in su ( 4 )
This note provides explicit techniques to compute the exponentials of a variety of anti-Hermitian matrices in dimension four. Many of these formulae can be written down directly from the entries of the matrix. Whenever any spectral calculations are required, these can be done in closed form. In many instances only 2 × 2 spectral calculations are required. These formulae cover a wide variety of ...
متن کاملar X iv : 0 80 2 . 11 21 v 1 [ m at h . PR ] 8 F eb 2 00 8 Representation of the penalty term of dynamic concave utilities
In this paper we will provide a representation of the penalty term of general dynamic concave utilities (hence of dynamic convex risk measures) by applying the theory of g-expectations.
متن کاملar X iv : 0 80 5 . 09 92 v 2 [ m at h . C O ] 8 J ul 2 00 8 FIBONACCI IDENTITIES AND GRAPH COLORINGS
We generalize both the Fibonacci and Lucas numbers to the context of graph colorings, and prove some identities involving these numbers. As a corollary we obtain new proofs of some known identities involving Fibonacci numbers such as Fr+s+t = Fr+1Fs+1Ft+1 + FrFsFt − Fr−1Fs−1Ft−1.
متن کامل