Teoria Espectral (March-June 2021)

 

 

Information on the course (syllabus)



• Syllabus

The material for the next weeks are contained in



• Introduction

• Fourier Transform

• Sobolev Spaces

• More on Distributions (updated)

• Unbounded Operators

• Self-adjoint Operators (updated)

• Unbounded Operators. Additional Examples

• Spectral Theorem

• Spectral Theorem. Additional Notes I

• The Kato-Rellich Theorem

• Stone's Theorem

• The Hille-Yosida Theorem (updated)

Any additional material will be post it here.




Homework

Please send your homework to Ricardo at (rickgames88@gmail.com)

• Homework 1

• Homework 2

• Homework 3

• Homework 4

• Homework 5

• Homework 6

• Homework 7

• Homework 8

• Homework 9

• Homework 10

• Homework 11

• Homework 12

Lectures



• Introduction

• Fourier Transform

• Distributions

• Sobolev Spaces

• Unbounded Operators

• Self-Adjoint Operator

• Additional Examples

• Kato-Rellich Theorem

• Spectral Theorem

• Stone's Theorem

• Hille-Yosida Theorem