Results 11 to 20 of about 516,450 (251)
A Cauchy kernel for slice regular functions [PDF]
Annals of Global Analysis and Geometry, 2009 In this paper we show how to construct a regular, non commutative Cauchy kernel for slice regular quaternionic functions. We prove an (algebraic) representation formula for such functions, which leads to a new Cauchy formula. We find the expression of the derivatives of a regular function in terms of the powers of the Cauchy kernel, and we present ...
COLOMBO, FABRIZIO +2 more
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On Cauchy–Stieltjes kernel families [PDF]
Journal of Multivariate Analysis, 2014 We explore properties of Cauchy-Stieltjes families that have no counterpart in exponential families. We relate the variance function of the iterated Cauchy-Stieltjes family to the pseudo-variance function of the initial Cauchy-Stieltjes family. We also investigate when the domain of means can be extended beyond the "natural domain".
Bryc, Włodek +2 more
core +13 more sources
The periodic Cauchy kernel, the periodic Bochner kernel, discrete pseudo-differential operators [PDF]
AIP Conference Proceedings, 2017 We introduce a discrete pseudo-differential operator in an appropriate discrete functional space and study the invertibility properties for such simplest operators in certain canonical domains of an Euclidean space. We construct special projectors for studying these operators according to a type of canonical domain and show how these operators are ...
V. Vasilyev
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Integro-differential equation with Cauchy kernel
Journal of Computational and Applied Mathematics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Badr
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IEEE Transactions on Instrumentation and Measurement, 2023 Accurate estimation of dynamic states is the key to monitoring power system operating conditions and controlling transient stability. The inevitable non-Gaussian noise and randomly occurring denial-of-service (DoS) attacks may, however, deteriorate the ...
Yi Wang +5 more
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Unique solvability of boundary value problem for functional differential equations with involution [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we consider a boundary value problem for systems of Fredholm type integral-differential equations with involutive transformation, containing derivative of the required function on the right-hand side under the integral sign ...
K.Zh. Nazarova, K.I. Usmanov
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Studia Universitatis Babeş-Bolyai. Mathematica, 2022 "In the present paper in $L_2^{(m)}(-1,1)$ space the optimal quadrature formulas with derivatives are constructed for approximate solution of a singular integral equation of the first kind with Cauchy kernel. Approximate solution of the singular integral
D. Akhmedov, K. Shadimetov
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Irregular Gabor frames of Cauchy kernels [PDF]
Applied and Computational Harmonic Analysis, 2022 3 ...
Yurii Belov +2 more
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Prediction of chaotic time series based on Nystrom Cauchy kernel conjugate gradient algorithm
Acta Physica Sinica, 2022 Chaotic time series can well reflect the nonlinearity and non-stationarity of real environment changes. The traditional kernel adaptive filter (KAF) with second-order statistical characteristics often suffers from performance degeneration dramatically ...
齐乐天 +3 more
semanticscholar +1 more source
On the Kernel of a Polynomial of Scalar Derivations
Mathematics, 2020 In this paper, by using a vector variable, the procedure of characteristic systems allows us to describe the kernel of a polynomial of scalar derivations by solving Cauchy Problems for the corresponding system of ODEs. Moreover, a gradient representation
Savin Treanţă
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