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Conjugate Functions and the Hilbert Transform

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Geometric Function Theory

Part of the book series: Cornerstones ((COR))

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Abstract

A major theme of analysis in the early twentieth century was the study of convergence of Fourier series. There are two basic types of convergence: pointwise convergence and norm convergence. The study of norm convergence gives rise rather quickly to the study of the Hilbert transform.

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© 2006 Birkhäuser Boston

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(2006). Conjugate Functions and the Hilbert Transform. In: Krantz, S.G. (eds) Geometric Function Theory. Cornerstones. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4440-7_10

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