Results 11 to 20 of about 129,126 (304)
Convolution theorem for nonlinear optics [PDF]
Applied Physics Letters, 2007 The authors have expressed the nonlinear optical absorption of a semiconductor in terms of its linear spectrum. They determined that the two-photon absorption coefficient in a strong dc electric field of a direct gap semiconductor can be expressed as the product of a differential operator times the convolution integral of the linear absorption without ...
Garcia, Hernando, Kalyanaraman, Ramki
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The string density of states from the convolution theorem [PDF]
, 1997 We study the microcanonical density of states and the thermal properties of a bosonic string gas starting from a calculation of the Helmholtz free energy in the S-representation. By adding more and more strings to the single string system, we induce that,
Marco Laucelli Meana +2 more
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The Titchmarsh convolution theorem [PDF]
Arkiv för Matematik, 2018 Let \(M\) be the set of all finite complex-valued Borel measures \(\mu\not\equiv0\) on \(\mathbf R\). Set \(l(\mu)=\inf(\text{supp}\,\mu)\). The classical Titchmarsh convolution theorem claims that if measures \(\mu_1, \mu_2,\dots,\mu_n\) belong to \(M\) and satisfy \(l(\mu_j)>-\infty\), \(j=1,2,\dots,n,\) then \[ l(\mu_1\ast\mu_2\ast\dots\ast\mu_n)=l(\
Gergün, S. +2 more
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TANGENT APPROXIMATION BY SOLUTIONS OF THE CONVOLUTION EQUATION
Проблемы анализа, 2022 The article for the first time studies the approximation of a function together with its derivatives on the real line by solutions of a multidimensional convolution equation of the form 𝑔 * 𝑇 = 0, where 𝑇 is a given compactly supported radial ...
V. V. Volchkov, Vit. V. Volchkov
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Estimates of certain paraxial diffraction integral operator and its generalized properties
Advances in Difference Equations, 2020 This paper aims to discuss a generalization of certain paraxial diffraction integral operator in a class of generalized functions. At the start of this paper, we propose a convolution formula and establish certain convolution theorem.
Shrideh Al-Omari +4 more
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Uniqueness Theorems for Convolution-Type Equations [PDF]
Transactions of the American Mathematical Society, 1969 In particular, when S is the whole real line we obtain the standard convolution equation. Again when S is the half line (0, co), we obtain the Wiener-Hopf equation. S= [0, 1] is still another of the classical equations, known to aerodynamicists as the "lifting line equation." We will be concerned with the uniqueness question for the equation (1), but ...
Byrnes, J. S., Newman, D. J.
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Advances in Difference Equations, 2020 In this article, we investigate the so-called Inayat integral operator T p , q m , n $T_{p,q}^{m,n}$ , p , q , m , n ∈ Z $p,q,m,n\in \mathbb{Z}$ , 1 ≤ m ≤ q $1\leq m\leq q$ , 0 ≤ n ≤ p $0\leq n\leq p $ , on classes of generalized integrable functions. We
Shrideh Khalaf Al-Omari
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A β-Convolution Theorem Associated with the General Quantum Difference Operator
Journal of Function Spaces, 2022 In this paper, we prove some properties of the β-partial derivative. We define the β-convolution of two functions associated with the general quantum difference operator, Dβft=fβt−ft/βt−t; β is a strictly increasing continuous function.
Enas M. Shehata, Rasha M. El Zafarani
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A fractional Fourier integral operator and its extension to classes of function spaces
Advances in Difference Equations, 2018 In this paper, an attempt is being made to investigate a class of fractional Fourier integral operators on classes of function spaces known as ultraBoehmians.
Shrideh K. Al-Omari
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Convolution Theorems with Weights [PDF]
Transactions of the American Mathematical Society, 1983 Analogues of Young’s Inequality and the Convolution Theorem are shown to hold when the L p {L_p} and L ( p , q ) L(p,q) spaces have underlying measure defined in terms of power weights.
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