On classes of summable functions and their Fourier Series

@inproceedings{YoungOnCO,
  title={On classes of summable functions and their Fourier Series},
  author={William Henry Young}
}
1. Functions which are summable may be such that certain functions of them are themselves summable. When this is the case they will possess certain special properties additional to those which the mere summability involves. A remarkable instance where this has been recognised is in the case of summable functions whose squares also are summable. The—in its formal statement almost self-evident—Theorem of Parseval which asserts that the sum of the squares of the coefficients of a Fourier series of… CONTINUE READING

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