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math.CV2020
Optimal approximants and orthogonal polynomials in several variables II: families of polynomials in the unit ball
Meredith Sargent, Alan A. Sola
We obtain closed expressions for weighted orthogonal polynomials and optimal approximants associated with the function and a scale of Hilbert f…
math.CV2020★ 11 cited
Optimal approximants and orthogonal polynomials in several variables
Meredith Sargent, Alan Sola
We discuss the notion of optimal polynomial approximants in multivariable reproducing kernel Hilbert spaces. In particular, we analyze difficulties that arise in the multivariable…