ALGEBRAIC STRUCTURE OF THE RANGE OF A TRIGONOMETRIC POLYNOMIAL
2020 ◽
Vol 102
(2)
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pp. 251-260
Keyword(s):
The range of a trigonometric polynomial with complex coefficients can be interpreted as the image of the unit circle under a Laurent polynomial. We show that this range is contained in a real algebraic subset of the complex plane. Although the containment may be proper, the difference between the two sets is finite, except for polynomials with a certain symmetry.
1996 ◽
Vol 144
◽
pp. 179-182
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Keyword(s):
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1969 ◽
Vol 35
◽
pp. 151-157
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2010 ◽
Vol 06
(07)
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pp. 1589-1607
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Keyword(s):
2001 ◽
Vol 04
(04)
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pp. 569-577
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2020 ◽
Vol 87
(3-4)
◽
pp. 165
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2013 ◽
Vol 35
(4)
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pp. 1045-1055
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