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Browse materialsMIT RES.18-015 · Spring 2024

Topics in Fourier Analysis

Art: Anonymous painter,15th century, Westerner and Arab practicing geometry 15th century manuscript, 15th… · Public domain

Instructor: Prof. Daniel Stroock
Term: Spring 2024
Level: Non-Credit
What's inside: 1 solution · 25 other files
Materials open: MIT OCW

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Source: MIT OpenCourseWare RES.18-015 Topics in Fourier Analysis, Spring 2024, Prof. Daniel Stroock — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.

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RES.18-015 S24 SolutionsPDF Download

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Topics in Fourier AnalysisPDF Download

MIT OpenCourseWare, Prof. Daniel Stroock, RES.18-015 Topics in Fourier Analysis, Spring 2024.

License: CC BY-NC-SA 4.0 · Edition: Spring 2024 · Open the original course on OCW ↗

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Topics in Fourier Analysis

Before you start

What's here, and what isn't

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Materials by section

Solutions

Other materials from this course

RES.18-015 S24 Lecture 01: Basic Theory of Fourier Series

RES.18-015 S24 Lecture 02: The Gibbs Phenomenon

RES.18-015 S24 Lecture 03: Bernoulli Polynomials

RES.18-015 S24 Lecture 04: Comparing Summability Methods

RES.18-015 S24 Lecture 05: Some Refinements

RES.18-015 S24 Lecture 06: The L¹ Fourier Transform

RES.18-015 S24 Lecture 07: Computations and Applications of L¹ Fourier Transforms

RES.18-015 S24 Lecture 08: The L¹ Fourier Inversion Formula

RES.18-015 S24 Lecture 09: The Ornstein-Uhlenbeck Semigroup

RES.18-015 S24 Lecture 10: Hermite Polynomials

RES.18-015 S24 Lecture 11: Hermite Functions

RES.18-015 S24 Lecture 12: More in the Fourier Transform

RES.18-015 S24 Lecture 13: Schwartz Test Functions

RES.18-015 S24 Lecture 14: Tempered Distributions

RES.18-015 S24 Lecture 15: Extending Continuous Operators

RES.18-015 S24 Lecture 16: Moving to R^N

RES.18-015 S24 Lecture 17: Convergence of Probability Measures

RES.18-015 S24 Lecture 18: The Fourier Transform for M_1(R^N)

RES.18-015 S24 Lecture 19: Infinitely Divisible Probability Measures

RES.18-015 S24 Lecture 20: Singular Integral Operators

RES.18-015 S24 Lecture 21: The Hilbert Transform

RES.18-015 S24 Lecture 22: Interpolation

RES.18-015 S24 Lecture 23: The Method of Rotations

RES.18-015 S24 Lecture 24: The Riesz Kernels