9780387111988
The Carleson-Hunt Theorem On Fourier Series - Ole Groth Jorsboe
Springer-Verlag (1982)
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Fourier series

For technical reasons we shall always consider real-valued functions defined on a finite interval, although their Fourier expansions will be written by means of the complex exponential functions. This assumption will save us for a lot of trouble in the estimates in the following chapters, and we do not loose any generality, since for a complex-valued function f we may consider the two real-valued functions Re f and Im f instead.

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