Frauke Sprengel
A Class of Periodic Function Spaces and Interpolation on Sparse Grids
Preprint series: Preprints aus dem Fachbereich Mathematik, Universität Rostock
41A63 Multidimensional problems (should also be assigned at least one other classification number in this section)
46E35 Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
Abstract: We present a unified approach to error estimates of periodic interpolation
on equidistant, full, and sparse grids for functions from a scale of
function spaces which includes $L_2$--Sobolev spaces, the Wiener algebra
and the Korobov spaces.

Keywords: Periodic Interpolation, Sparse Grids, Function Spaces of Dominating Mixed Smoothness