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Best $\ell_1$-approximation of nonnegative polynomials by sums of squares
Polynomials sums of squares semidefinite programming
2011/2/21
Given a nonnegative polynomial f, we provide an explicit expres-sion for its best ℓ1-norm approximation by a sum of squares of given degree.
Loss of derivatives for systems of complex vector fields and sums of squares
Loss of derivatives for systems complex vector fields sums of squares
2010/11/29
We discuss, both for systems of complex vector fields and for sums of squares, the phenomenon discovered by Kohn of hypoellipticity with loss of derivatives.MSC: 32W05, 32W25, 32T25
Ternary Sums of Squares and Triangular Numbers
Primitive spinor exceptions ternary quadratic forms triangular numbers
2010/12/14
For any integer x, let Tx denote the triangular number x(x+1)2 .In this paper we give a omplete characterization of all the triples of positive integers ( , , ) for which the ternary sums x2+ Ty + T...