Results 11 to 20 of about 5,018 (278)
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.
Huzaifa L. Qadri +4 more
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Alexandria Engineering Journal, 2019 The present work focuses on formulating a numerical scheme for approximation of Volterra integral equations with highly oscillatory Bessel kernels. The application of Laplace transform reduces integral equations into algebraic equations.
Muhammad Taufiq, Marjan Uddin
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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 ...
Alexander Apelblat
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Isometry property and inversion of a spherical mean Radon transform with centers on a hyperplane
AIP AdvancesThe spherical mean Radon transform maps a suitable function f to the integral of f over a sphere. This transform is used in photoacoustic tomography based on the wave equation.
Sunghwan Moon, Jeongmin Kim
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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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Efficient target detection method based on wavelet transform and progressive feature pyramid network: a case study of power grid inspection. [PDF]
Sci RepIn 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.
Ye J, Yuqi B, Wendi W, Bo Q, Hai L.
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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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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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Some properties of a new general triple complex integral transform [PDF]
مجلة جامعة الانبار للعلوم الصرفةThis paper investigates a novel triple complex integral transform, highlighting its properties and its applications to functional, integral, and partial differential equations.
Nada Mohammed +2 more
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Abel's Integral Equation as a Convolution Transform [PDF]
Proceedings of the American Mathematical Society, 1956 the first equation to be treated and solved as an integral equation, has an extensive literature, dealing on the one hand with properties of the functions involved, and on the other hand with the solution, and conditions for solubility of the equation. In the first category one might cite, in the modern spirit, the memoirs of Hardy [1, pp.
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