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20202026
most citedA survey on the development status and application prospects of knowledge graph in smart grids

116 citations

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5 papers · 1 filter

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.CA2025★ 2 cited

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)…

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…

math.CA2023★ 6 cited

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…

math.CA2023★ 3 cited

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…