Results 21 to 30 of about 516,450 (251)
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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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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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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The kernel theorem for Cauchy ultradistribution
Journal of Mathematical Analysis and Applications, 2003 Because of the popularity currently gained by ultradistribution theory (after the heydays of Schwartz distribution theory) the authors have tried to extend the results concerning kernel theorems to ultradistributions. Some elementary results are proved under the heading ``The kernel theorem''.
Banerji, P.K. +2 more
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Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis [PDF]
, 2013 Recently the basic setting has been established for the development of quaternionic Hermitian Clifford analysis, a theory centred around the simultaneous null solutions, called q-Hermitian monogenic functions, of four Hermitian Dirac operators in a ...
Abreu-Blaya, Ricardo +4 more
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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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Hermitian clifford analysis [PDF]
, 2015 This paper gives an overview of some basic results on Hermitian Clifford analysis, a refinement of classical Clifford analysis dealing with functions in the kernel of two mutually adjoint Dirac operators invariant under the action of the unitary group ...
A Damiano +22 more
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Singular integral equations with Cauchy kernels [PDF]
Transactions of the American Mathematical Society, 1946 Not ...
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The Cauchy kernel, the Szeg� kernel, and the Riemann mapping function
Mathematische Annalen, 1978 Kerzman, N., Stein, E.M.
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Higher order Borel–Pompeiu representations in Clifford analysis [PDF]
, 2016 In this paper, we show that a higher order Borel–Pompeiu (Cauchy–Pompeiu) formula, associated with an arbitrary orthogonal basis (called structural set) of a Euclidean space, can be extended to the framework of generalized Clifford analysis. Furthermore,
Bory Reyes, Juan +3 more
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