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4 papers · 1 filter
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…
-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 \…
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)…