Invariance property of proximity conditions in nonlinear subdivision (Q452071)

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scientific article; zbMATH DE number 6084102
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Invariance property of proximity conditions in nonlinear subdivision
scientific article; zbMATH DE number 6084102

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    Invariance property of proximity conditions in nonlinear subdivision (English)
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    19 September 2012
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    The authors prove that the proximity condition is satisfied in one coordinate system if and only if it is satisfied in any other coordinate system. It is also proved a connection between the general proximity condition and an alternate proximity condition used in the interpolatory case. This interpolatory proximity condition enjoys the same invariance under change of coordinates.
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    nonlinear subdivision
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    proximity condition
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    manifold
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    coordinate independence
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    Hermite-Biehler theorem nonlinear subdivision
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    Hermite-Biehler theorem
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