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CATEGORIES:Cambridge Analysts' Knowledge Exchange
SUMMARY:Spectral analysis of the Fox--Li operator - Gil Ra
mos\, (Cambridge Centre for Analysis)
DTSTART;TZID=Europe/London:20121010T160000
DTEND;TZID=Europe/London:20121010T170000
UID:TALK39737AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/39737
DESCRIPTION:In this talk I present some recent work with Prof.
Arieh Iserles on the asymptotic behavior of a gen
eric eigenvalue and eigenfunction pair of the Fox-
-Li operator in the asymptotic regime of large osc
illations. This Fox--Li eigenvalue and eigenfuncti
on problem is particularly relevant to the science
of laser beams and resonators\, as well as a very
appealing theme for research given that it is (mi
ldly) non-normal and falls outside of standard spe
ctral theory. The talk will concern two different
approaches (which relate to two different ways of
approximating the eigenfunctions: either in invers
e powers of large oscillation or in Fourier basis)
and conclude with current thoughts on the problem
.
LOCATION:MR14\, Centre for Mathematical Sciences
CONTACT:Kevin Crooks
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