Title: A note on rearrangements, spectral concentration, and the zero-order prolate spheroidal wavefunction
Abstract: If the measure of the support of a function f is small, its symmetric decreasing rearrangement f* is more nearly bandlimited to low frequencies than f, while their norms are equal. An immediate corollary is that the time-limited zero-order prolate spheroidal wavefunction is the extremal function for a new optimization problem involving time- and bandlimiting. The result has an application in exploration seismology.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
Publication Year: 1993
Publication Date: 1993-01-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 12
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