Lecture 16: The dyadic square function, and the Haar system

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Open the PDF → Opens in your phone's PDF viewer, where you can scroll and zoom. 399 KB ·October 2026

Finishing the dyadic Littlewood–Paley theorem: duality for $p \ge 2$, Khintchine turning a uniform bound over sign patterns into the square function estimate, then the Haar basis and multiresolution analysis. Last lecture of the course.

Harmonic Analysis · October 2026