Results 41 to 50 of about 627,768 (311)
Approximation of the Hilbert transform in the Lebesgue spaces
Journal of Numerical Analysis and Approximation Theory, 2023 The Hilbert transform plays an important role in the theory and practice of signal processing operations in continuous system theory because of its relevance to such problems as envelope detection and demodulation, as well as its use in relating the ...
Rashid Aliev, Lale Alizade
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Efficient algorithms for integrals with highly oscillatory Hankel kernels
Results in Applied Mathematics, 2022 We present an efficient numerical algorithm for approximating integrals with highly oscillatory Hankel kernels. First, using the integral expression of the Hankel function, the integral is transformed into the integral of the trigonometric kernel, and ...
Qinghua Wu, Mengjun Sun
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Advanced Engineering Research, 2014 The authors have previously studied two - dimensional Fredholm integral operators with homogeneous kernels of fiber - singular type. For this class of operators, the symbolic calculus is built using the theory of biloc al operators by V.
Vladimir Mikhaylovich Deundyak +1 more
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New estimates for the maximal singular integral [PDF]
, 2009 In this paper we pursue the study of the problem of controlling the maximal singular integral $T^{*}f$ by the singular integral $Tf$. Here $T$ is a smooth homogeneous Calder\'on-Zygmund singular integral of convolution type.
Centre de Recerca Matemàtica +4 more
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Singular integrals in the Cesàro sense [PDF]
The Journal of Fourier Analysis and Applications, 2000 The existence of the singular integral ∫K(x, y)f(y)dy associated to a Calderón-Zygmund kernel where the integral is understood in the principal value sense TF(x)=limε→0+∫|x−y|>εK(x, y)f(y)dy has been well studied. In this paper we study the existence of the above integral in the Cesàro-α sense.
Bernardis, A.L., Martin-Reyes, F.J.
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Solutions of singular integral equations
International Journal of Mathematics and Mathematical Sciences, 1982 Qualitative behavior of solutions of possibly singluar integral equations is studied. It includes properties such as positivity, boundedness and monotonicity of the solutions of the infinite interval.
Rina Ling
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Non-homogeneous impulsive time fractional heat conduction equation
Journal of Numerical Analysis and Approximation Theory, 2023 This article provides a concise exposition of the integral transforms and its application to singular integral equation and fractional partial differential equations.
Arman Aghili
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Regularity of the minimiser of one-dimensional interaction energies
, 2019 We consider both the minimisation of a class of nonlocal interaction energies over non-negative measures with unit mass and a class of singular integral equations of the first kind of Fredholm type. Our setting covers applications to dislocation pile-ups,
Kimura, M., van Meurs, P.
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Numerical solution of integral equations with finite part integrals
International Journal of Mathematics and Mathematical Sciences, 1999 We obtain convergence rates for several algorithms that solve a class of Hadamard singular integral equations using the general theory of approximations for unbounded operators.
Samir A. Ashour
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, 2012 In this paper we study the shape differentiability properties of a class of boundary integral operators and of potentials with weakly singular pseudo-homogeneous kernels acting between classical Sobolev spaces, with respect to smooth deformations of the ...
Costabel, Martin +1 more
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