School of Technology and Computer Science Seminars
Approximate Identities
by Mr. Sudarshan R. Gurjar (School of Mathematics, TIFR)
Tuesday, January 24, 2012
from
to
(Asia/Kolkata)
at Colaba Campus ( A-212 (STCS Seminar Room) )
at Colaba Campus ( A-212 (STCS Seminar Room) )
Description |
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. |