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- W2000259269 abstract "The notion of mean dimension was introduced in the 1970s by Tikhomirov. It determines the mean number of linear dimensions required to identify an element of a given function class. Tikhomirov then posed the following problem: find the mean dimension of the unit ball BpE of the space of Lp-functions on Rn with spectra inside a given Lebesgue measurable bounded set E. In the language of signal analysis: determine the amount of linear information carried by generalized band-limited signals. In this paper Tikhomirov′s conjecture on mean dimension is confirmed in certain important cases and yet shown to fail in certain other cases." @default.
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- W2000259269 date "1993-10-01" @default.
- W2000259269 modified "2023-09-27" @default.
- W2000259269 title "Mean Dimension of Function Classes with Lebesgue Measurable Spectral Sets" @default.
- W2000259269 doi "https://doi.org/10.1006/jath.1993.1087" @default.
- W2000259269 hasPublicationYear "1993" @default.
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