3 papers
math.CA2025
-transformation and its uncertainty principles
Lai Tien Minh, Trinh Tuan
In this paper, we introduce a family of integral transforms, denoted by \(\mathcal{O}_α\), and constructed via kernel fusion of the fractional Fourier transform (FRFT) with angle \…
math.CA2024
Analog version of Hausdorff--Young's theorem for quadratic Fourier transforms and boundedness of oscillatory integral operator
Trinh Tuan, Lai Tien Minh
The purpose of this paper is twofold. The first aim is based on Riesz--Thorin's interpolation theorem, we prove new Hausdorff--Young type inequalities for the Quadratic Fourier tra…
math.CA2024
Fundamental inequalities for the iterated Fourier-cosine convolution with Gaussian weight and its application
Nguyen Thi Hong Phuong, Trinh Tuan, Lai Tien Minh
Derived from the results in [Giang et al.: \emph{Convolutions for the Fourier transforms with geometric variables and applications}, Math. Nachr. 283(12) (2010), 1758--1770], in th…