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A remark on periodic Tchebyshev systems

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Abstract

The linear hull of a Tchebyshev system is called a Haarspace. Every Haar-space of periodic functions has odd dimension. It is shown that under certain conditions an n-dimensional Haar-space of periodic functions contains i-dimensional Haar-spaces Ui, i=1,3,...,n, with U1⊂U3⊂...⊂Un=U.

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References

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Zielke, R. A remark on periodic Tchebyshev systems. Manuscripta Math 7, 325–329 (1972). https://doi.org/10.1007/BF01644071

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  • DOI: https://doi.org/10.1007/BF01644071

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