Results 1 to 10 of about 4,775 (232)
IEEE Access, 2022 This paper aims at providing a framework suitable for justification of classical convolution integral and Fourier transform in many cases not covered by the usual definition of integral used for signal theory applications.
Zeljko Juric, Harun Siljak
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Efficient target detection method based on wavelet transform and progressive feature pyramid network: a case study of power grid inspection [PDF]
Scientific ReportsIn contemporary society, electricity is a critical resource integral to national economies and public welfare, making the safe and stable operation of high-voltage transmission lines paramount.
Ji Ye +4 more
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Demonstratio MathematicaAbstract This article presents two types of the new convolutions for the Hartley integral transform associated with the Hermite functions, gives rise to the identification of some commutative and non-commutative Banach algebras, and to the Young inequalities which, in a certain sense, can be seen as the exceptional Young inequalities.
Nguyen Minh Tuan
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Modelling one-dimensional elastic diffusion processes in an orthotropic solid cylinder under unsteady volumetric perturbations [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 A polar-symmetric elastic diffusion problem is considered for an orthotropic multicomponent homogeneous cylinder under uniformly distributed radial unsteady volumetric perturbations.
Andrei V Zemskov +2 more
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The Laguerre transform of a convolution product of vector-valued functions.
Математичні Студії, 2021 The Laguerre transform is applied to the convolution product of functions of a real argument (over the time axis) with values in Hilbert spaces.
A. O. Muzychuk
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Mathematics, 2023 In this paper, we present a novel integral transform known as the one-dimensional quaternion quadratic-phase Fourier transform (1D-QQPFT). We first define the one-dimensional quaternion quadratic-phase Fourier transform (1D-QQPFT) of integrable (and ...
Mohammad Younus Bhat +3 more
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Quadratic-Phase Hilbert Transform and the Associated Bedrosian Theorem
Axioms, 2023 The Hilbert transform is a commonly used linear operator that separates the real and imaginary parts of an analytic signal and is employed in various fields, such as filter design, signal processing, and communication theory.
Hari M. Srivastava +4 more
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Integral Transforms Characterized by Convolution
Results in Mathematics, 2023 AbstractInspired by Jaming’s characterization of the Fourier transform on specific groups via the convolution property, we provide a novel approach which characterizes the Fourier transform on any locally compact abelian group. In particular, our characterization encompasses Jaming’s results.
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International Journal of Analysis and Applications, 2023 This paper proposes a framework based on the celebrated transform of Mellin type (MT) for the analytic solution of the Black-Scholes-Merton European Power Put Option Model (BSMEPPOM) on Dividend Yield (DY) with Modified-Log-Power Payoff Function (MLPPF ...
S.E. Fadugba +4 more
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Mathematics, 2020 In this work, properties of one- or two-parameter Mittag-Leffler functions are derived using the Laplace transform approach. It is demonstrated that manipulations with the pair direct–inverse transform makes it far more easy than previous methods to ...
Alexander Apelblat
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