John D. Cook 5/23/2026

Hilbert transform as an infinite matrix

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This article discusses the Hilbert transform in the context of Fourier series, showing how it can be represented as an infinite block matrix acting on Fourier coefficients. The author reflects on the historical use of infinite matrices in mathematics and their current niche status. The content is technical and relevant to signal processing, mathematical analysis, and applied mathematics within IT/technology.

Hilbert transform as an infinite matrix

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