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SUMMARY:Spectral analysis of the Fox--Li operator - Gil Ramos\, (Cambridge
  Centre for Analysis)
DTSTART:20121010T150000Z
DTEND:20121010T160000Z
UID:TALK39737@talks.cam.ac.uk
CONTACT:Kevin Crooks
DESCRIPTION:In this talk I present some recent work with Prof. Arieh Iserl
 es on the asymptotic behavior of a generic eigenvalue and eigenfunction pa
 ir of the Fox--Li operator in the asymptotic regime of large oscillations.
  This Fox--Li eigenvalue and eigenfunction problem is particularly relevan
 t to the science of laser beams and resonators\, as well as a very appeali
 ng theme for research given that it is (mildly) non-normal and falls outsi
 de of standard spectral theory. The talk will concern two different approa
 ches (which relate to two different ways of approximating the eigenfunctio
 ns: either in inverse powers of large oscillation or in Fourier basis) and
  conclude with current thoughts on the problem.
LOCATION:MR14\, Centre for Mathematical Sciences
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