AbstractWe express the structure of some positive polynomials in several variables, as squares of rational function with universal denominators, using functional analysis methods
We study in the paper the positivity of real multivariate polynomials over a non-degenerate simplex ...
We consider the problem of minimizing a polynomial over a semialgebraic set defined by polynomial eq...
Fractional powers and polynomial maps preserving structured totally positive matrices, one-sided Pol...
AbstractWe express the structure of some positive polynomials in several variables, as squares of ra...
Abstract If a real polynomial f can be written as a sum of squares of real polynomials, then clearly...
The characteristic properties of Artin's denominators in Hilbert's 17th problem are obtained. It is ...
2010 Mathematics Subject Classification: 05A15, 05E05, 05E10, 13A50, 15A72, 16R10, 16R30, 20G05Let K...
summary:Let $P$ and $Q$ be polynomials in one variable with complex coefficients and let $n$ be a na...
Given a polynomial f possibly having negative coefficients, and a polynomial P having only positive ...
This paper is mainly concerned with identities like \[ (x_1^d + x_2^d + \cdots + x_r^d) (y_1^d + y_2...
To prove that a polynomial is nonnegative on Rn, one can try to show that it is a sum of squares of ...
Abstract. Hilbert posed the following problem as the 17th in the list of 23 problems in his famous 1...
AbstractWe study the product of two polynomials in many variables, in several norms, and show that u...
Positivity of polynomials, as a key notion in real algebra, is one of the oldest topics. In a given ...
AbstractWe consider the problem of deciding whether a given rational function has a power series exp...
We study in the paper the positivity of real multivariate polynomials over a non-degenerate simplex ...
We consider the problem of minimizing a polynomial over a semialgebraic set defined by polynomial eq...
Fractional powers and polynomial maps preserving structured totally positive matrices, one-sided Pol...
AbstractWe express the structure of some positive polynomials in several variables, as squares of ra...
Abstract If a real polynomial f can be written as a sum of squares of real polynomials, then clearly...
The characteristic properties of Artin's denominators in Hilbert's 17th problem are obtained. It is ...
2010 Mathematics Subject Classification: 05A15, 05E05, 05E10, 13A50, 15A72, 16R10, 16R30, 20G05Let K...
summary:Let $P$ and $Q$ be polynomials in one variable with complex coefficients and let $n$ be a na...
Given a polynomial f possibly having negative coefficients, and a polynomial P having only positive ...
This paper is mainly concerned with identities like \[ (x_1^d + x_2^d + \cdots + x_r^d) (y_1^d + y_2...
To prove that a polynomial is nonnegative on Rn, one can try to show that it is a sum of squares of ...
Abstract. Hilbert posed the following problem as the 17th in the list of 23 problems in his famous 1...
AbstractWe study the product of two polynomials in many variables, in several norms, and show that u...
Positivity of polynomials, as a key notion in real algebra, is one of the oldest topics. In a given ...
AbstractWe consider the problem of deciding whether a given rational function has a power series exp...
We study in the paper the positivity of real multivariate polynomials over a non-degenerate simplex ...
We consider the problem of minimizing a polynomial over a semialgebraic set defined by polynomial eq...
Fractional powers and polynomial maps preserving structured totally positive matrices, one-sided Pol...
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