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SUMMARY:Fast approximation on the real line - Arieh Iserles (University of
  Cambridge)
DTSTART:20190807T130000Z
DTEND:20190807T140000Z
UID:TALK128512@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Abstract: While approximation theory in an interval is t
 horoughly understood\, the real line represents something of a mystery. In
  this talk we review the state of the art in this area\, commencing from t
 he familiar Hermite functions and moving to recent results &nbsp\;characte
 rising all orthonormal sets on $L_2(-\\infty\,\\infty)$ that have a skew-s
 ymmetric (or skew-Hermitian) tridiagonal differentiation matrix and such t
 hat their first $n$ expansion coefficients can be calculated in $O(n \\log
  n)$ operations. In particular\, we describe the generalised Malmquist&nda
 sh\;Takenaka system. The talk concludes with a (too!) long list of open pr
 oblems and challenges.<br> <br> </span><br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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