Algebra of Polynomials Bounded on a Semi-algebraic Set f≤r

The algebra of polynomials in ℝ [ x ] which are bounded on a semi-algebraic set determined by a polynomial inequality f ( x ) ≤ r with f (0) = 0 is studied and the case when it is generated by a finite set of monomials is discussed. A large class of polynomials which are asymptotic to finitely many...

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Veröffentlicht in:Acta mathematica vietnamica 2021, Vol.46 (4), p.821-838
Hauptverfasser: Trang, Du Thu, Toan, Ho Minh, Hong, Nguyen Thi
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Sprache:eng
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