Abstract
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 ⊂ D . In addition to smoothness at the boundary of D 0 , the extension to D ⧹ 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 coefficients or varying coefficients.
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