September 24, 2012 -
4:00 pm to 5:00 pm
Location: Cupples I, Room 199 |
Host: Prof. John McCarthy
Abstract: It is often the case in harmonic analysis that it is difficult to find a mathematical object with some prescribed properties, but it is pretty easy to exhibit a random object which enjoys the desired properties almost surely. We will begin the talk with a study of random trigonometric series and discuss the conditions for convergence and regularity. We will then show an interesting result of Kahane having to do with Lipschitz classes and convolution.
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