Course Descriptions

16:640:510 - Topics in Analysis

Fall 2020

Avy Soffer

Subtitle:

Functional Analysis and the Related Quantum Theory.

Course Description:

This is an introductory course to modern functional analysis  and its use in the study of PDE of Mathematical-Physics.  Beginning with a  review of Hilbert spaces and linear operators, we then proceed to the basics of spectral theory of self adjoint operators in Hilbert space, and applications to Fundamental mathematical aspects of Quantum mechanics, and more general Dispersive wave equations. 

The necessary Analysis will be developed in class.

This course is also available by arrangement.

Text:

Functional Analysis, by M. Reed and B. Simon

Recommended Text:  Functional Analysis, by Yoshida, Kosaku

Operator Theory, part 4, by Barry Simon

Prerequisites:

Real Analysis and Linear Algebra are prerequisites.

 

Schedule of Sections:

Previous Semesters