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Can you please elaborate on the Cantor-Fourier connection more explicitly or provide a helpful URL? Thank you.
by achillesheels 8y ago
Can you please elaborate on the Cantor-Fourier connection more explicitly or provide a helpful URL? Thank you.
- sn41 8y agoIt is detailed in the article itself. Cantor wanted to say what classes of sets of discontinuities are allowed such that we can still represent a function with a trigonometric series. Cantor's approach immediately led to what are now called Cantor-Bendixson derivatives, and indirectly led to Cantor developing the rudiments of modern (naive) set theory.
- achillesheels 8y agoI see, I missed it while I was looking for Fourier, thanks. I’m curious how this work is mathematically related to the complex unit circle.