Integral norm discretization and related problems
Duration: 45 mins 53 secs
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About this item
| Description: |
Dai, F
Friday 21st June 2019 - 11:10 to 12:00 |
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| Created: | 2019-06-21 13:17 |
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| Collection: | Approximation, sampling, and compression in high dimensional problems |
| Publisher: | Isaac Newton Institute |
| Copyright: | Dai, F |
| Language: | eng (English) |
| Abstract: | 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. |
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