Integral norm discretization and related problems

45 mins 54 secs,  173.98 MB,  WebM  640x360,  29.97 fps,  44100 Hz,  517.52 kbits/sec
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Description: Dai, F
Friday 21st June 2019 - 11:10 to 12:00
 
Created: 2019-06-21 13:17
Collection: Approximation, sampling, and compression in high dimensional problems
Publisher: Isaac Newton Institute
Copyright: Dai, F
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
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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