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SudarshanR. Gurjar School of Mathematics Tata Institute of Fundamental Research Homi Bhabha Road Mumbai 400005  
Tuesday, 24 Jan 2012, 17:00 to 18:00
A-212 (STCS Seminar Room)
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.