Please use this identifier to cite or link to this item: https://doi.org/10.1007/s10444-004-4145-x
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dc.titleInequalities on time-concentrated or frequency-concentrated functions
dc.contributor.authorGoh, S.S.
dc.contributor.authorGoodman, T.N.T.
dc.date.accessioned2014-10-28T02:36:56Z
dc.date.available2014-10-28T02:36:56Z
dc.date.issued2006-01
dc.identifier.citationGoh, 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
dc.identifier.issn10197168
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103417
dc.description.abstractWe 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.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1007/s10444-004-4145-x
dc.sourceScopus
dc.subjectExtremal functions
dc.subjectMeasures of spread
dc.subjectTime- or frequency-concentrated functions
dc.subjectUncertainty principles
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1007/s10444-004-4145-x
dc.description.sourcetitleAdvances in Computational Mathematics
dc.description.volume24
dc.description.issue1-4
dc.description.page333-351
dc.identifier.isiut000236833200018
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