Hermite approximations composed with adaptive transformations are equivalent to standard Hermite approximation of the pullback function, yielding error bounds controlled by the regularity of that pullback and enabling spectral convergence via a monotone transport map that aligns decay.
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Convergence theory for Hermite approximations under adaptive coordinate transformations
Hermite approximations composed with adaptive transformations are equivalent to standard Hermite approximation of the pullback function, yielding error bounds controlled by the regularity of that pullback and enabling spectral convergence via a monotone transport map that aligns decay.