We show using functional analysis methods, that under some conditions, such as the positivity of a homogeneous polynomial, one can give a representation of polynomials which are positive on semi-algebraic sets, allowing irrational fractions with denominators of the form (1+t2 1)β 1/2 ...(1+t 2 n)β n/2, βi∈Z+, i = 1, ..., n
Positivity – Springer Journals
Published: Oct 4, 2004
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