Abstract
We begin with the univariate case in order to illustrate the action of the differential operator on periodic functions. For a trigonometric polynomial \( f \in \mathcal(T)(n) \) we have
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Dũng, D., Temlyakov, V., Ullrich, T. (2018). Function Spaces on \( \mathbb{T}^d\). In: Tikhonov, S. (eds) Hyperbolic Cross Approximation. Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-92240-9_3
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DOI: https://doi.org/10.1007/978-3-319-92240-9_3
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