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ADCM
2006

Inequalities on time-concentrated or frequency-concentrated functions

13 years 11 months ago
Inequalities on time-concentrated or frequency-concentrated functions
We obtain an inequality on a measure of the spread in time of periodic functions that are concentrated in frequency, i.e. all but a fixed finite number of Fourier coefficients vanish with meansquared error up to . We characterize an extremal function and give an asymptotic formula for the measure of spread of this extremal function as approaches 0. We also consider the corresponding problem for functions on the real line that are -concentrated in time or frequency. When = 0, the above reduce to inequalities on time-limited or band-limited functions and these are discussed in more detail.
Say Song Goh, Tim N. T. Goodman
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2006
Where ADCM
Authors Say Song Goh, Tim N. T. Goodman
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