2 papers
math.CA2026
-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…