

COMPACT COURSE ON HARMONIC ANALYSIS AND GEOMETRIC MEASURE THEORY
Topic 
: 
Harmonic Analysis and Geometric Measure Theory 
Speaker 
: 
Professor Malabika Pramanik
University of British Columbia
Room 121, 1984 Mathematics Road
Vancouver, B.C., Canada V6T 1Z2 
Venue 
: 
Lecture Hall I, First Floor
Department of Mathematics, IISc 
Time 
: 
4:00 PM to 5:00 PM 
During this course the speaker will address on the following topics:
WEEK I:
AUGUST 19, 2013 to AUGUST 23, 2013
(Monday to Friday)
 A brief review of Hausdorff and Fourier dimensions
 Salem sets and Salem measures
 Continuum analogue of Szemeredi  type problems for sparse subsets of Euclidean spaces
 Existence of three point configurations in Salem sets in R – discussion of proof
 Higher dimensional extensions
WEEK II:
AUGUST 26, 2013 to AUGUST 29, 2013
(Monday to Thursday)
 Stein's spherical maximal theorem, Bourgain's circular maximal theorem,
 measuretheoretic extensions
 Differentiation for measures  a question of Aversa and Preiss
 A Lebesgueindependent differentation theorem in R
 Overview of proof
ALL ARE WELCOME
