Results 31 to 40 of about 516,450 (251)
An Asymptotic Model for Solving Mixed Integral Equation in Position and Time
Journal of Mathematics, 2022 In this paper, we considered a mixed integral equation (MIE) of the second kind in the space L2−b,b×C0,T ...
A. R. Jan
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Symmetrization of a Family of Cauchy-Like Kernels: Global Instability [PDF]
La Matematica, 2022 The fundamental role of the Cauchy transform in harmonic and complex analysis has led to many different proofs of its $L^2$ boundedness. In particular, a famous proof of Melnikov-Verdera [18] relies upon an iconic symmetrization identity of Melnikov [17] linking the universal Cauchy kernel $K_0$ to Menger curvature.
Lanzani, Loredana, Pramanik, Malabika
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Kernels for the Tangential Cauchy-Riemann Equations [PDF]
Transactions of the American Mathematical Society, 1980 On certain codimension one and codimension two submanifolds in C n {{\textbf {C}}^n} , we can solve the tangential Cauchy-Riemann equations ∂ ¯ b
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Symmetrization of a Cauchy-like kernel on curves [PDF]
Journal of Functional Analysis, 2021 Revised version to appear in Journal of Functional ...
Loredana Lanzani, Malabika Pramanik
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A note on the numerical solution for Fredholm integral equation of the second kind with Cauchy kernel. [PDF]
, 2011 In this study, numerical solution for the Fredholm integral equation of the second kind with Cauchy singular kernel is presented. The Chebyshev polynomials of the second kind are used to approximate the unknown function.
Eshkuratov, Zainidin K. +2 more
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Cauchy-type integrals in several complex variables [PDF]
, 2013 We present the theory of Cauchy-Fantappi\'e integral operators, with emphasis on the situation when the domain of integration, $D$, has minimal boundary regularity.
Lanzani, Loredana, Stein, Elias M.
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 In this paper Cauchy problem for a parabolic equation with Bessel operator and with Riemann-Liouville partial derivative is considered. The representation of the solution is obtained in terms of integral transform with Wright function in the kernel.
Fatima G Khushtova
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On a New Class of Singular Integro-differential Equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
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Non-symmetric Cauchy kernels for the classical groups
Journal of Combinatorial Theory, Series A, 2009 We give non-symmetric versions of the Cauchy kernel and Littlewood's kernels, corresponding to the types $A_n$, $B_n$, $C_n$ and $D_n$, of the classical groups. We show that these new kernels are diagonal in the basis of two families of key polynomials (one of them being Demazure characters) obtained as images of dominant monomials under isobaric ...
Fu, Amy M., Lascoux, Alain
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An efficient method for approximate solution of a singular integral equation with Cauchy kernel
Journal of Computational and Applied Mathematics, 2019 In this paper, the Least Squares method and the reproducing kernel space are employed to obtain approximate solution of a general form of singular integral equations with Cauchy kernel.
Li-Hong Yang, Zhong Chen, Kechao Xie
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