In this work, we introduce the one-dimensional quadratic-phase Fourier transform. The relation between one-dimensional quadratic-phase Fourier transform and one-dimensional Fourier transform is discussed in detail. We finally propose several versions of the inequalites related to one-dimensional quadratic-phase Fourier transform.
Hilbert Journal of Mathematical Analysis (Hilbert J. Math. Anal.) is a peer-reviewed, open-access international journal publishing original and high-quality research papers that treat mathematical analysis, geometry, topology, and all closely related topics. It is published by Komunitas Analisis ...