Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Graph
Search

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

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

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)

Untitled

Approximate Identities in Harmonic Analysis

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

Harmonic Analysis: Properties and Consequences

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

Spectral Theory: Regularity and Embedding

Explores spectral theory, emphasizing regularity properties and embedding theorems in the context of Sobolev spaces and compactly supported functions.

Wayl's Theorem: Polynomial Clarity

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

Related courses (30)

MATH-101(en): Analysis I (English)

We study the fundamental concepts of analysis, calculus and the integral of real-valued functions of a real variable. ...

MATH-101(g): Analysis I

Étudier les concepts fondamentaux d'analyse et le calcul différentiel et intégral des fonctions réelles d'une variable. ...

MATH-410: Riemann surfaces

This course is an introduction to the theory of Riemann surfaces. Riemann surfaces naturally appear is mathematics in many different ways: as a result of analytic continuation, as quotients of complex domains under discontinuous group actions, as algebraic ...

MATH-502: Distribution and interpolation spaces

The goal of this course is to give an introduction to the theory of distributions and cover the fundamental results of Sobolev spaces including fractional spaces that appear in the interpolation theory. Those notions are central to the study of partial dif ...

MATH-201: Analysis III

Calcul différentiel et intégral. Eléments d'analyse complexe. ...