6 citations · 20 across the 8 of their papers we have counts for
8 papers
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.…
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…
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)…
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…
New polyconvolution product for Fourier-cosine and Laplace integral operators and their applications
Trinh Tuan
The goal of this paper is to introduce the notion of polyconvolution for Fourier-cosine, Laplace integral operators, and its applications. The structure of this polyconvolution ope…
Trigonometric weighted generalized convolution operator associated with Fourier cosine-sine and Kontorovich-Lebedev transformations
Trinh Tuan, Nguyen Thanh Hong
The main objective of this work is to introduce the generalized convolution with trigonometric weighted involving the Fourier cosine-sine and Kontorovich-Lebedev transfo…
Boundedness in spaces for the Hartley-Fourier convolutions operator and their applications
Trinh Tuan
The paper deals with -boundedness of the Hartley-Fourier convolutions operator and their applied aspects. We establish various new Young-type inequalities and obtain the struc…
Resonances for 1D half-line periodic operators: II. Special case
Tuan Phong Trinh
The present paper is devoted to the study of resonances for a D Schrödinger operator with truncated periodic potential. Precisely, we consider the half-line operator $H^{\mathbb…