Description

This is the page for a course at Princeton (third in Stein analysis sequence) taught by the incredible Prof. Paul Minter I took during Spring 2023. Below is the course description and some resources about the topic.

“The theory of Lebesgue integration in n-dimensional space. Differentiation theory. Hilbert space theory and applications to Fourier Transforms, and partial differential equations. Introduction to fractals. This course is the third semester of a four-semester sequence, but may be taken independently of the other semesters.”

This was a beautiful course and Prof. Minter was a fantastic instructor. We basically followed the third Stein book but the lectures and problem sets kept us seeing the bigger bicture the whole time.

Reading List

• Stein & Shakarchi Book III: Measure Theory, Integration, and Hilbert Spaces (round these parts we call it “Stein 3”)
• thats basically it. anything covering the fundamentals likely overlaps significantly.

Notes & Problem Sets

• My notes from lecture.
• My problem sets! I don’t think any are really awfully wrong, but some are incorrect for sure. Email me if there’s anything to discuss:
  • PSet 1
  • PSet 2
  • PSet 3
  • PSet 4
  • PSet 4.5
  • PSet 5
  • PSet 6
  • PSet 7
  • PSet 8
  • PSet 8.5