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L. T. Minh

Bio: L. T. Minh is an academic researcher from Hanoi Architectural University. The author has contributed to research in topics: Convolution & Young's inequality. The author has an hindex of 1, co-authored 1 publications receiving 18 citations.

Papers
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TL;DR: In this article, the authors obtained new convolutions for quadratic-phase Fourier integral operators (which include, as subcases, e.g., the fractional Fourier transform and the linear canonical transform).
Abstract: We obtain new convolutions for quadratic-phase Fourier integral operators (which include, as subcases, e.g., the fractional Fourier transform and the linear canonical transform). The structure of these convolutions is based on properties of the mentioned integral operators and takes profit of weight-functions associated with some amplitude and Gaussian functions. Therefore, the fundamental properties of that quadratic-phase Fourier integral operators are also studied (including a Riemann–Lebesgue type lemma, invertibility results, a Plancherel type theorem and a Parseval type identity). As applications, we obtain new Young type inequalities, the asymptotic behaviour of some oscillatory integrals, and the solvability of convolution integral equations.

50 citations


Cited by
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Journal ArticleDOI
01 Nov 2021-Optik
TL;DR: In this article, the authors proposed a short-time quadratic-phase Fourier transform (QPFT) which can effectively localize the quadratically-phase spectrum of non-transient signals.

20 citations

Journal ArticleDOI
05 Jan 2022-Optik
TL;DR: In this article , the quadratic phase wave packet transform (QP-WPT) is proposed to address this problem, based on the WPT and QPFT, and its relation with windowed Fourier transform (WFT) is given.

14 citations