Lecture

Fractal Uncertainty Principle and Spectral Gaps

Description

This lecture explores the Fractal Uncertainty Principle (FUP) for the Fourier transform, discussing regular sets, spectral gaps, and the FUP for Cantor sets. The instructor presents theorems, proofs, and applications, including the Fast Fourier Transform decomposition and submultiplicativity lemma.

Official source

https://mediaspace.epfl.ch/media/0_cqmnncfl

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Information engineering

Signal processing: Fourier analysis

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