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Generalized Fourier Integral

Definition

The so-called generalized Fourier integral is a pair of integrals--a "lower Fourier integral" and an "upper Fourier integral"--which allow certain complex-valued functions f to be decomposed as the sum of integral-defined functions, each of which resembles the usual Fourier integral associated to f and maintains several key properties thereof.

Associated person

Jean-Baptiste-Joseph Fourier

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