Ma 110c:  Analysis (Spring 2016-17)

ANNOUNCEMENTS

Registration for Spring term opens Thursday, February 23, 2016.

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COURSE DESCRIPTION

This is the third quarter of the Graduate Analysis Qualifying Exam course. We will principally cover elementary classical harmonic analysis


PREREQUISITES

Just wing it.


SCHEDULE

MWF 11:00 - 11:55, 159 Sloan.


INSTRUCTORS

Nets Katz
International Business Machines Professor of Mathematics
164 Sloan
626-395-2326


TA's

Alex McDonald

Sloan 280 626-395-3733


OFFICE HOURS

Katz Tuesday 2-3

McDonald Thursday 5-6


POLICIES

Grades

Grading based on homeworks, not exams

Homework Policy

There will be roughly 6 problem sets, no more often than weekly but occasionally less often.


TOPICS COVERED

This course will cover elementary Fourier series and their convergence, singular integrals, in particular the maximal function and the Hilbert transform, Littlewood Paley theory, Sobolev spaces and the Sobolev embedding theorems, applications to PDE, introduction to radial Fourier multipliers and the Kakeya problem.


TEXTBOOKS

Analisis de Fourier, Javier Duoandikoetxea Zuazo.Ediciones de la Universidad Autonoma de Madrid [The bookstore is carrying a somewhat disreputable translation, published by the AMS

We will also be using these lecture notes of Terry Tao on Littlewood-Paley theory from which he gave a course in Winter 2001

Here is Lacey and Thiele's paper on Carleson's theorem. Carleson


LECTURE NOTES

Date Description
   
   
   

HOMEWORK

Due Date Homework Solutions
April 14, 2017 Problem set 1  
April 28, 2017 Problem set 2  
May 12,2017 Problem set 3  
May 29,2017 Problem set 4  
     
     
     
     

EXAMS

 


READING