Course:
Analysis for PhD students
Quarter:
Spring (Q3-4) 2018
Schedule:
is here
(some of the dates might change later!)
Course literature:
I intend to mostly follow Gerald B. Folland: "Real Analysis" (2nd edition), but
I might also use some parts of
Walter Rudin: "Real and Complex Analysis"
(3rd edition), Simon "A Comprehensive Course in Analysis" (5-volume set), and some others. I am also planning to keep
posting lecture notes as we go through the course.
Examination:
there will be three homework assignments in the course. Each assignment will be worth 100 points.
To pass the course, you need to submit solutions to all three assignments, have at least 30 points on each of them,
and at least 150 points altogether. You may discuss and collaborate when solving the problems,
but you may not read or copy others' written solutions (honor code applies!)
Lectures:
(I will update this list as we go along)
- Lectures 1-4: measures (lecture notes are here)
- Lectures 5-8: Lebesgue integrals (lecture notes are here)
- Lectures 9-12: L^p spaces (lecture notes are here)
- Lectures 13-16: Fourier analysis on n-torus and on R^n (lecture notes are here)
- Lectures 17-20: Distribution theory (lecture notes
are here)
Homework assignments:
- Homework 1 (2018-03-19 update: a typo corrected in problem 5) due on April 02 (extension is possible if requested by email before the deadline)
- Homework 2 (2018-05-03 update: a typo corrected in problem 4(i)) due on May 14 (extension is possible if requested by email before the deadline)
- Homework 3 due on June 4 (Update (Mar 27): some omissions in problems 3, 5iii are fixed); electronic submission only; extension is possible if requested by email before the deadline)
Rostyslav Kozhan, kozhan [at] math [dot] uu [dot] se