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Part of the book series: Lecture Notes in Physics Monographs ((LNPMGR,volume 8))

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Abstract

The aim of the previous chapters was to show that a polynomial admits a double representation. One is given by its Fourier coefficients with respect to set of orthogonal basis functions, the other by the values at the nodes associated with a suitable high accuracy integration formula. Clearly, it is possible to switch from one representation to the other. The way to do it is the subject of this chapter.

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© 1992 Springer-Verlag Berlin Heidelberg

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(1992). Transforms. In: Polynomial Approximation of Differential Equations. Lecture Notes in Physics Monographs, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-46783-0_4

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  • DOI: https://doi.org/10.1007/978-3-540-46783-0_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55230-7

  • Online ISBN: 978-3-540-46783-0

  • eBook Packages: Springer Book Archive

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