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Integral norm discretization and related problems

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ASCW03 - Approximation, sampling, and compression in high dimensional problems

In this talk, we will discuss the problem of replacing an integral norm with respect to a given probability measure by the corresponding integral
norm with respect to a discrete measure. We study the problem for elements of finite dimensional spaces in a general setting, paying a
special attention to the case of the multivariate trigonometric polynomials with frequencies from a finite set with fixed cardinality.
Both new results and a survey of known results will be presented.

This is a joint work with A. Prymak, V.N. Temlyakov and S. Tikhonov.

This talk is part of the Isaac Newton Institute Seminar Series series.

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