Analysis similar to material covered in Real Analysis: Modern Techniques and Their Applications by Folland
Definition and basic properties of Fourier Transform and its inverse
Later parts of the course will use some Riemann surface theory which we will develop in class. Though it would be helpful to have had some experience with differential geometry before.
Aim of the course
Aim of the course is to introduce the students to the theoretical aspects of mathematical tomography and inverse problems so that the students can begin reading some of the literature related to this topic.
- Docent: Leo Tzou