COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

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

## Fast approximation on the real lineAdd to your list(s) Download to your calendar using vCal - Arieh Iserles (University of Cambridge)
- Wednesday 07 August 2019, 14:00-15:00
- Seminar Room 2, Newton Institute.
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:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 2, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listscu palestine society Rede Lectures Interdisciplinary Graduate Conference 2008 "Challenges of the 21st Century"## Other talksAging, Intelligence, and Slowing of Thought Economic Globalisation in the late First Millennium (Global Imaginaries through the Ages) Organiser Introduction - Brief Overview of the INI Research Programme 'Mathematical and Statistical Challenges in Landscape Decision Making' Let Ultrasound Help You Surf the Waves of Bioelectronics Trust & Technology Initiative 2019 Symposium |