Special Math Lecture: Introduction to functional analysis

A dinosaur
LecturerSerge RICHARD, Professor
DepartmentG30, 2019 Fall
Recommended for:Hu(J)・La(S)・Ec(S)・Sc(P・C・B)・En(P・C・Au)・Ag(B) (21.5 hours / session One session / week)

Course Overview

Functional analysis is a useful tool for many physical theories, and has been partially developed concomitantly with quantum mechanics.
The aim of this course is to provide the necessary background for a good understanding of the mathematics behind any course of quantum mechanics.
During this one semester course, the notions of distributions, of Lebesgue integral, and the foundation of spectral theory will be introduced.

Course Prerequisites

Basic knowledge on calculus and linear algebra, as provided in Calculus I & II and in Linear algebra I & II. Motivated 1st year students can also attend without these prerequisites but after a discussion with the instructor.

Course Contents

  • Distribution theory
  • Lebesgue theory
  • Operator theory on Hilbert spaces
  • Spectral theory for self-adjoint operators

Evaluation Methods

The final grade will be based on the active participation during the lectures and on some written reports.

Notice for Students

This course in an optional subject which does not count towards the number of credits required for graduation in any program at Nagoya University.

Additional information



Material will be provided during the lectures, see also the website.

Reference Book

Reference books will be provided during the lectures, see also the website.

The lecture notes


Last updated

December 17, 2020