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|Title:||Inequalities on time-concentrated or frequency-concentrated functions||Authors:||Goh, S.S.
Measures of spread
Time- or frequency-concentrated functions
|Issue Date:||Jan-2006||Citation:||Goh, S.S., Goodman, T.N.T. (2006-01). Inequalities on time-concentrated or frequency-concentrated functions. Advances in Computational Mathematics 24 (1-4) : 333-351. ScholarBank@NUS Repository. https://doi.org/10.1007/s10444-004-4145-x||Abstract:||We obtain an inequality on a measure of the spread in time of periodic functions that are ε-concentrated in frequency, i.e. all but a fixed finite number of Fourier coefficients vanish with mean-squared error up to ε. We characterize an extremal function and give an asymptotic formula for the measure of spread of this extremal function as ε approaches 0. We also consider the corresponding problem for functions on the real line that are ε-concentrated in time or frequency. When ε=0, the above reduce to inequalities on time-limited or band-limited functions and these are discussed in more detail. © Springer 2006.||Source Title:||Advances in Computational Mathematics||URI:||http://scholarbank.nus.edu.sg/handle/10635/103417||ISSN:||10197168||DOI:||10.1007/s10444-004-4145-x|
|Appears in Collections:||Staff Publications|
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