On the representation of a function as an absolutely convergent Fourier integral
The authors obtain new sufficient conditions for the representation of a function by an absolutely convergent Fourier integral in \(\mathbb{R}^d\). These conditions are given in terms of simultaneous behavior of a function and its derivative at \(\infty\). Sharpness of the conditions are tested by well-known examples.
scientific article; zbMATH DE number 5816202
scientific article