Harmonic Analysis D

Aalto University

Dyadic cubes

Calderon-Zygmund decomposition

Functions of bounded mean oscillation

Muckenhoupt weights

Singular integrals

Interpolation and extrapolation of operator norm inequalities

Note: Harmonic analysis was historically understood as a synonym to Fourier analysis, but in the modern usage, harmonic analysis is seen as a broader term. Since Fourier analysis is covered in other courses, this course emphasizes aspects of harmonic analysis other than those related to Fourier series/transform.

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