A Note on Transformed Fourier Systems for the Approximation of Non-periodic Signals

A variety of techniques have been developed for the approximation non-periodic functions. In particular, there are based on rank-1 lattices and transformed lattices, including methods that use sampling sets consisting Chebyshev- tent-transformed nodes. We compare these with a parameterized Fourier system yields similar $$\ell _2$$ -approximation errors.