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Carleson: almost-everywhere convergence of Fourier series

Proved almost-everywhere convergence of Fourier partial sums for square-integrable functions, resolving the central convergence problem in this setting.

What is recorded here?

Proved almost-everywhere convergence of Fourier partial sums for square-integrable functions, resolving the central convergence problem in this setting.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

The record is the exact 1966 Acta Mathematica paper. Fourier’s original theory, Kolmogorov divergence examples, Hunt’s later Lp extension and subsequent proof simplifications remain separate.

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People and systems

Lennart Carleson

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

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Documented countries / regions: Sweden, United States

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English catalogue narrative

Carleson: almost-everywhere convergence of Fourier series

Proved almost-everywhere convergence of Fourier partial sums for square-integrable functions, resolving the central convergence problem in this setting.

Scientific scope

The record is the exact 1966 Acta Mathematica paper. Fourier’s original theory, Kolmogorov divergence examples, Hunt’s later Lp extension and subsequent proof simplifications remain separate.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Lennart Carleson

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources