Results 21 to 30 of about 568,612 (221)
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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Fractal and Fractional, 2023 The nonlinear Volterra–Fredholm integral Equation (NVFIE) with a singular kernel is discussed such that the kernel of position can take the Hilbert kernel form, Carleman function, logarithmic form, or Cauchy kernel. Using the quadrature method, the NVFIE
Sahar M. Abusalim +3 more
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On the uniqueness of kernel determination in the integro-differential equation of parabolic type
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 We study the problem of determining the kernel of the integral term in the one-dimensional integro-differential equation of heat conduction from the known solution of the Cauchy problem for this equation.
Durdimurod K Durdiev
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Analytical chemistry kernel library for spectroscopic profiling data
Food Chemistry Advances, 2023 The kernel is a powerful mathematical tool in spectroscopic profiling data analysis. This paper gives a theoretical and systematic formulation for various kernel types.
Yinsheng Zhang +5 more
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The Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernels [PDF]
Journal of Mathematical Analysis and Applications, 2022 The Fueter-Sce-Qian (FSQ for short) mapping theorem is a two-steps procedure to extend holomorphic functions of one complex variable to slice monogenic functions and to monogenic functions. Using the Cauchy formula of slice monogenic functions the FSQ-theorem admits an integral representation for $n$ odd.
Fabrizio Colombo +3 more
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Advances in Mechanical Engineering, 2016 Accurate prediction for kurtosis of bearing vibration signal is helpful to find out the fault of bearing as soon as possible. Kurtosis prediction of bearing vibration signal based on wavelet packet transform and Cauchy kernel relevance vector regression ...
Sheng-wei Fei
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Journal of Probability and Statistics, 2018 The circular kernel density estimator, with the wrapped Cauchy kernel, is derived from the empirical version of Carathéodory function that is used in the literature on orthogonal polynomials on the unit circle.
Yogendra P. Chaubey
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Fault Diagnosis of Bearing Based on Cauchy Kernel Relevance Vector Machine Classifier with SIWPSO
Shock and Vibration, 2015 Bearing is an important component of mechanical system; any defects of bearing will lead to serious damage for the entire mechanical system. In this paper, Cauchy kernel relevance vector machine with stochastic inertia weight particle swarm optimization ...
Sheng-wei Fei, Yong He
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Singular integral equations with Cauchy kernels [PDF]
Transactions of the American Mathematical Society, 1946 Not ...
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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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