Recent developments in the theory of function spaces with dominating mixed smoothness

By H. Schmeißer. 2007

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Tractability of Multivariate Problems (2008, background): “, Sickel and Ullrich [208] and the survey Schmeisser [205].”
Spline interpolation on sparse grids (2011, background): “Detailed treatments of Besov as well as Sobolev spaces of dominating mixed smoothness are given at various places, we refer to the monographs [56, 57], the survey [58] as well as to the booklet [45].”