Tata Institute of Fundamental Research
Approximate Identities
Seminar
Speaker:
SudarshanR. Gurjar
School of Mathematics
Tata Institute of Fundamental Research
Homi Bhabha Road
Mumbai 400005
Date:
Tuesday, 24 Jan 2012, 17:00 to 18:00
Venue:
A-212 (STCS Seminar Room)
(Scan to add to calendar)
Abstract:
I will explain the role played by infinitely differentiable functions with compact support on the real line. Suitably scaled such functions are very close (with respect to a suitable norm) to being identity elements for the binary operation of convolution of functions. If time permits, as an application I will sketch the proof of the famous Weirstrass approximation theorem in real analysis.
Only knowledge of elementary calculus will be assumed.
| Speaker: | SudarshanR. Gurjar School of Mathematics Tata Institute of Fundamental Research Homi Bhabha Road Mumbai 400005 |
| Date: | Tuesday, 24 Jan 2012, 17:00 to 18:00 |
| Venue: | A-212 (STCS Seminar Room) |
(Scan to add to calendar)
Abstract:
I will explain the role played by infinitely differentiable functions with compact support on the real line. Suitably scaled such functions are very close (with respect to a suitable norm) to being identity elements for the binary operation of convolution of functions. If time permits, as an application I will sketch the proof of the famous Weirstrass approximation theorem in real analysis.
Only knowledge of elementary calculus will be assumed.
Only knowledge of elementary calculus will be assumed.