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Under construction. This area is a framework being built: most courses have no teaching material yet, and things may change or break. Private self-study. Not an official programme and not recognised by any ministry or school. No qualification, mark or document is issued, and “years 1 to 3” and “advanced” are names of study paths only.

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P11 Harmonic analysis

Advanced pathP: Advanced pureplannedabout 180 h (planning estimate)

Planned: syllabus only, no teaching material yet. Nothing on this page can be studied; it describes what the course would cover.

Named in: Advanced pure mathematics pathway

Why this course

Lp estimates and Fourier-analytic methods.

Prerequisites

Required
G01 Measure & integration, G02 Functional analysis, U13 Fourier analysis & transforms
Recommended
none
Can be taken at the same time
none
Everything required, transitively (15 courses)
B01, B02, B03, B04, B06, B08, B09, B13, B15, B16, F01, F02, G01, G02, U13
Courses that require this one
none

Concept-level units

Units follow the syllabus order, as a recommended sequence rather than a gate.

  1. Lp estimates
  2. Fourier methods
  3. Convolution operators
  4. Interpolation
  5. Maximal-function themes
  6. Selected applications

Assessable outcome

Prove analytical estimates and use them in a concrete application.

Assessment design

  • deeper problem sets
  • reconstruction of an unfamiliar argument
  • advanced source reading
  • cumulative examination or substantial project

cumulative; uses spaced retrieval

Resources

Every title here is candidate, unverified unless marked verified. Titles were suggested while planning. Nobody has checked that they exist, what they cost or how they are licensed.

  • Stein and Shakarchi
  • selected harmonic-analysis notes

Content record

Version
0.0.0
Review
no review of any kind
Provenance
catalogue imported from the owner brief of 29 Oct 2026; no teaching content authored
Known issues
none recorded
Type
course

Bridges and laboratories

No bridge or laboratory is attached to this course yet.

You and this course

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