Positive trigonometric polynomials

Positive trigonometric polynomials
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正三角多项式

DOI:
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发表时间:
2003
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通讯作者:
V. Tkachev
V. Tkachev
中科院分区:
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文献类型:
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作者:
V. Tkachev

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本文从代数的角度研究了非负三角多项式的边界。特别地,我们证明了它是不可约代数超曲面的子集,并建立了它的结式的显式形式。
We study the boundary of the nonnegative trigonometric polynomials from the algebraic point of view. In particularly, we show that it is a subset of an irreducible algebraic hypersurface and established its explicit form in terms of resultants.