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arXiv · 2410.09423

Behaviour Preserving Extensions of Univariate and Bivariate Functions

David Levin
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Abstract

Given function values on a domain $D_0$, possibly with noise, we examine the possibility of extending the function to a larger domain $D$, $D_0\subset D$. In addition to smoothness at the boundary of $D_0$, the extension on $D\setminus D_0$ should also inherit behavioral trends of the function on $D_0$, such as growth and decay or even oscillations. The approach chosen here is based upon the framework of linear models, univariate or bivariate, with constant or varying coefficients.

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David Levin. 2024-10-12. Behaviour Preserving Extensions of Univariate and Bivariate Functions. https://arxiv.org/abs/2410.09423

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