Spring 2008: Math 245C
Real Analysis

 Instructor: Inwon C.Kim, MS 7620E (Also can be located at IPAM 1218)

 Lecture: MWF 2-2:50 pm, MS 6118

 Office hours: Wed,Fri 3-4:30 MS 7620E

 Textbook:1. Folland,  Real Analysis: Modern Techniques and Their Applications,   Wiley-Interscience Publication,
                   ISBN 0-471-31716-0
                     2. Stein and Shakarchi,  Real Analysis: Measure Theory, Integration, and Hilbert spaces,  Princeton University Press,
                   ISBN 0-691-11386-6.

 Materials to be covered:  L^p spaces and convolutions (Chapter 6 of Folland plus some additional material), Fourier Transform (Chapter 5 of S-S),
 Hausdorff measure (Chapter 7 of S-S). If time permits we will also discuss the latter parts of Chapter 6 in S-S.

 Grade  will be based on homeworks.

 Homework : There will be weekly homework assignments assigned, due on Mondays.

 Homework 1 (Due 4/7): Folland 6.1 13, 6.2 18,19,20.
Additional problems here .
 
 Homework 2 (Due 4/14): Folland 6.2: 23,  6.3: 30,31.
From Handout on convolution: Problem 13,16,17,20. 

 Homework 3 (Due 4/21): Here.

 Homework 4 (Due 4/27): S-S p 253 Ex. 1,2, 12,13,14,15.

 Homework 5 (Due 5/12): S-S p 253 Ex. 16,17,18,19.

 Homework 6 (Due 5/19): S-S p 380 1,3,4,6,7,10, Problem 2.

 Homework 7 (Due 5/28): S-S p 380 14,16,17,18,20. Problem 3.