SECOND OF TWO LECTURES

Tel Aviv University

Hello everyone,

The next colloquium is part of the Sackler Distinguished Lectures of
2012-2013,
and will be held on:

Monday, 20/5/2013, 12:15, Schreiber 006, Tel Aviv University.

Speaker: Charles L. Fefferman (Princeton University)

Title: Extension and interpolation problems I

The second talk of the Sackler lectures series (by the same speaker)
will be held on:

Tuesday, 21/5/2013, 15:10-16:10, at Schreiber 309.

Title: Extension and interpolation problems II

The abstract is given below. Light refreshments will be served outside the
lecture halls on Monday at 12:00, and on Tuesday at 15:00.

Hope to see you there. For information about future colloquia, see
<http://www.math.tau.ac.il/~ostrover/colloquium/colloq2012.html>

Yours,
Yaron

*************************************

Abstract: Let X be a Banach space of continuous functions on R^n, and let
f:E->R
be a function defined on an (arbitrary) given subset E of R^n. How can
we tell whether f extends to a function F \in X ? If such an F exists,
then how small can we take its norm? What can we say about its derivatives
at a given point?  Can we take F to depend linearly on f?

Suppose E is finite. Can we compute an F as above whose norm has the
smallest possible order of magnitude? How many computer operations does
it take?

The talk explains what we know about these questions for X=C^m(R^n),
X=C^m, alpha(R^n) (m-th derivatives in Lip(alpha)) and X=W^m,p(R^n). Some
of the main results are joint work with Arie Israel, Kevin Luli, and
Bo'az Klartag.

---------------------------------------------------------
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il>
Announcement from:  <ostrover@post.tau.ac.il>