University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Fast approximation on the real line

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Fast approximation on the real line

Download to your calendar using vCal

If you have a question about this talk, please contact INI IT .

GCS - Geometry, compatibility and structure preservation in computational differential equations

Abstract: While approximation theory in an interval is thoroughly understood, the real line represents something of a mystery. In this talk we review the state of the art in this area, commencing from the familiar Hermite functions and moving to recent results  characterising all orthonormal sets on $L_2(-\infty,\infty)$ that have a skew-symmetric (or skew-Hermitian) tridiagonal differentiation matrix and such that their first $n$ expansion coefficients can be calculated in $O(n \log n)$ operations. In particular, we describe the generalised Malmquist–Takenaka system. The talk concludes with a (too!) long list of open problems and challenges.






This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Room B4, Institute of Criminology, University of Cambridge James Fawcett Seminar Room, van Geest Building (formerly 'the library'). BAS Seminar Room 1; https://ukri.zoom.us/j/92840831145

Other talks

Title to be confirmed Christopher Cowie on the epistemology of assessing biosignature claims Tea and Coffee Break Cambridge Reading Group on Reproduction: Professor Sara Brill TBC Group Work
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity