Frauke Sprengel
Interpolation and Wavelets on Sparse Gauss-Chebyshev Grids
The paper is published: Multivariate Approximation: Recent Trends and Results, (Eds. W. Haußmann, K. Jetter, M. Reimer), Mathematical Research, Vol. 101, Akademie-Verlag, Berlin 1997, 269-286
42B99 None of the above but in this section
41A10 Approximation by polynomials, {For approximation by trigonometric polynomials, See 42A10}
Abstract: Nested spaces of multivariate functions on the square forming a
non-stationary multiresolution analysis are investigated. The
scaling function of these spaces are fundamental Lagrange interpolations
on a sparse Gauss-Chebyshev grid. The approach based on Boolean sums
leads to sample spaces significantly lower dimension. The algorithms
for complete decomposition and reconstruction are of simple structure
and low complexity.

Keywords: wavelets, multivariate interpolation, Boolean sums, sparse Gauss-Chebyshev grids