5 papers
Upper bound coefficient for convolution structure associated to Hartley--Bessel transform
Trinh Tuan
This paper is devoted to the study of a convolution structure denoted by , which is defined via the Hartley--Bessel transform. This concept was introduced in a recent work by…
-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…
A refined variant of Hartley convolution: algebraic structures, spectral radius and related issues
Trinh Tuan
In this work, we propose a novel convolution product associated with the -transform, denoted by , and explore its fundamental properties.…
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…
Composition structure of polyconvolution associated with index Kontorovich-Lebedev transform and Fourier integrals
Trinh Tuan
Using Kakichev's classical concept and extending Yakubovich-Britvina's approach (\textit{Results. Math.} 55(1-2):175-197, 2009) and (\textit{Integral Transforms Spec. Funct.} 21(4)…