MATHEMATICAL NOTES · HARMONIC ANALYSIS

Harmonic Analysis

Exploring different ways to understand functions through frequency, oscillation, and scale. These notes on Fourier analysis and related topics begin with the intuition behind basic concepts and develop toward more detailed arguments.

Start with the geometry of frequency →

A wave decomposed into Fourier modes and a frequency spectrum.

Articles & Notes

From an intuition to a clear explanation.

The Basic Geometric Meaning of Frequency in Fourier Analysis (1)

Mathematics

Harmonic Analysis

Fourier atoms, directional variation, and the reciprocal relationship between spatial scale and frequency.

2026-10-10

READING SERIES

The Geometry of Frequency

Starting with a single Fourier atom, explore how frequency describes direction, variation, and spatial scale.

Read the series →