Colloquium Lecture
Department of Mathematics
Bar Ilan University

<p>

Date: sunday 31 may '09, at 12:00 pm Department Room

<p>

Speaker: Prof. B.Bojarski Academy of Science,  Poland

<p>

Title: Differentiability of measurable functions and Whitney-Luzin
type structure theorems.

<p>

Abstract: In the lecture I shall introduce the simple concept of
k-quasi smooth functions, k-integer >=0, on arbitrary measurable
subset of R(n) and show how this concepts unifies the ideas of
H.Whitney on smooth functions on arbitrary closed subsets of R(n) with
the Luzin-Egorov-Denjoy 'a structure theorems for measurable
functions.  In the lectures only very classical concepts of analysis
are used.  Applications to Sobolev spaces, potential theory, harmonic
analysis will be mentioned very briefly.  Lecture will be organized
for very broad audience.