MATH 247A

Classical Fourier Analysis

Mathematics · 4 units · Graduate courses (200-299)

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Distribution on R n and T n . Principal values; other examples. Distributions with submanifolds as supports. Kernel theorem. Convolution; examples of singular integrals. Tempered distributions and Fourier transform theory on Rn. Distributions with compact or one-sided supports and their complex Fourier transforms.

When it runs

Winter 2026
Fall 2026

Scheduled, not typical — from UCLA’s Schedule of Classes, which publishes Fall 2025 through Spring 2027 and nothing before it.

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Requisites

Official UCLA wording
Requisites: courses 245A, 245B, 246A.

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Requires

Everything that has to come before this course, not just the courses named in the requisite above.

MATH 247A

MATH 245AReal Analysis
- MATH 121Introduction to Topology
  - MATH 131AAnalysisanother path to it
- MATH 131AAnalysisanother path to it
- MATH 131BAnalysisanother path to it

Unlocks

What this course is a requisite for, and what those courses lead to in turn.

No course in the catalog lists this as a requisite.