Course

MATH-405: Harmonic analysis

Summary

An introduction to methods of harmonic analysis. Covers convergence of Fourier series, Hilbert transform, Calderon-Zygmund theory, Fourier restriction, and applications to PDE.

Lectures

Instructor

Joachim Krieger

Official source

https://edu.epfl.ch/coursebook/en/harmonic-analysis-MATH-405

Moodle Page

http://go.epfl.ch/MATH-405

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Summary

An introduction to methods of harmonic analysis. Covers convergence of Fourier series, Hilbert transform, Calderon-Zygmund theory, Fourier restriction, and applications to PDE.

Lectures

Instructor

Joachim Krieger

Official source

https://edu.epfl.ch/coursebook/en/harmonic-analysis-MATH-405

Moodle Page

http://go.epfl.ch/MATH-405

About this result

Lectures in this course (10)

Harmonic Analysis: Schwerte Functions

Explores Schwerte functions in harmonic analysis, emphasizing compact support and function convergence.

Harmonic Analysis: Properties and Consequences

Explores properties and consequences in harmonic analysis, including density and convergence.

Approximate Identities in Harmonic Analysis

Explores the concept of approximate identities in harmonic analysis and their applications in mathematical settings.

Wayl's Theorem: Polynomial Clarity

Focuses on the proof of Wayl's theorem through polynomial manipulation and induction.

Harmonic Analysis 03/05/21

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