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if ($_GET['q'] == 'node/833') { ## SOUTHERN CALIFORNIA FUNCTIONAL ANALYSIS SEMINAR\textbf{Saturday, November 12, 2011} \textbf{2:00-4:30 PM} \textbf{Claremont McKenna College} \textbf{Freeburg Forum, Kravis Center LC62}
Central to the talk will be the comparison of various notions of Gaussian measures on a topological group $G$.They are introduced as measures on $G$ which are embeddable into continuous one-parameter convolution semigroups or as infinitely divisible measures which by definition admit $n$th roots for every $n$. In this connection the question arises whether any infinitely divisible measure on a topological group $G$ is in fact embeddable.This embedding property holds true for Euclidean spaces and more generally for locally convex vector spaces over the field of real numbers. Since the appearance of the speaker's monograph of 1975 much work has been devoted to solving the embedding problem within the framework of an arbitrary locally compact group, but in full generality the problem is still open. In order to convey at least some ideas on the approach towards the solution of the problem we shall restrict ourselves to Abelian groups and discuss a few nonstandard examples.
\textbf{Danielq Wulbert} \textbf{University of California, San Diego} \textbf{Abstract} We will describe the classical Liapanov's Convexity Theorem and its Functional Analytic Form. We will state a form of a recent extension of the theorem. Some of the tools used in the proof will be mentioned, but we won't give a detailed proof. In addition to recovering the Classical Theorem, the applications will include an extension of the Phelps-Dye Theorem (used to prove that no finite dimensional subspace of $L^1[0,1]$ admits unique best approximations to all $L^1$-functions), and an envy free cake cutting theorem.
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The Gateway to Exploring Mathematical Sciences program (GEMS) is a once monthly, Saturday morning workshop that was founded at the Claremont Colleges in the Fall 2008. It was so popular, we are presenting it again for the Fall 2011. GEMS is designed to reach seventh, eighth and ninth grade students who may have an interest in mathematics or science. The workshops present mathematics and science applications in an exciting way that catches these young students’ interest early. Included in the 20111-2012 GEMS program are the Pomona, Claremont, San Bernadino, Upland and Long Beach Unified School Districts as well as selected private schools upon request. | ||

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