Results 21 to 30 of about 137,723 (315)
Integral representation with respect to fractional Brownian motion under a log-Hölder assumption
Modern Stochastics: Theory and Applications, 2015 We show that if a random variable is the final value of an adapted log-Hölder continuous process, then it can be represented as a stochastic integral with respect to a fractional Brownian motion with adapted integrand.
Taras Shalaiko, Georgiy Shevchenko
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Fractal and Fractional, 2021 In the present paper, first we obtain sufficient conditions for the existence and uniqueness of the solution of the Cauchy problem for an inhomogeneous neutral linear fractional differential system with distributed delays (even in the neutral part) and ...
Hristo Kiskinov +3 more
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Group representations and integrality.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1992 According to a theorem of Brauer an irreducible complex character \(\chi\) of a finite group \(G\) can be realized over the cyclotomic field \(\mathbb{Q}(\zeta_ e)\) where \(e\) is the exponent of \(G\). In this paper it is shown that \(\chi\) can already be realized over the integers \(\mathbb{Z}[\zeta_ e]\) in \(\mathbb{Q}(\zeta_ e)\), provided that \
Weiss, A., Cliff, G., Ritter, J.
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Some Relations on the rRs(P,Q,z) Matrix Function
Axioms, 2023 In this paper, we derive some classical and fractional properties of the rRs matrix function by using the Hilfer fractional operator. The theory of special matrix functions is the theory of those matrices that correspond to special matrix functions such ...
Ayman Shehata +2 more
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Some properties and applications of the Teodorescu operator associated to the Helmholtz equation
Journal of Inequalities and Applications, 2017 In this paper, we first define the Teodorescu operator T ψ , α $T_{\psi,\alpha }$ related to the Helmholtz equation and discuss its properties in quaternion analysis.
Pei Yang, Liping Wang, Long Gao
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Integral Representations of a Generalized Linear Hermite Functional
Mathematics, 2023 In this paper, we find new integral representations for the generalized Hermite linear functional in the real line and the complex plane. As an application, new integral representations for the Euler Gamma function are given.
Roberto S. Costas-Santos
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Integral representation of moderate cohomology [PDF]
, 2021 We make the classical Dickenstein–Sessa canonical representation in local moderate cohomology explicit by an integral formula.
Kalm, Håkan Samuelsson +3 more
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Mathematics, 2022 In the present paper, sufficient conditions are obtained under which the Cauchy problem for a nonlinearly perturbed nonautonomous neutral fractional system with distributed delays and Caputo type derivatives has a unique solution in the case of initial ...
Ekaterina Madamlieva +3 more
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Linear operators on Köthe spaces of vector fields
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 The study of Köthe spaces of vector fields was initiated by the present authors. In this paper linear operators on these spaces are studied. An integral representation theorem is given and special types of linear operators are introduced and studied.
Chiţescu Ion, Sireţchi Liliana
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An analog of the Cauchy formula for certain Beltrami equations
Учёные записки Казанского университета: Серия Физико-математические науки, 2019 The Beltrami differential equations are intrinsic generalizations of the Cauchy–Riemann system in complex analysis. Their solutions generalize holomorphic functions. As known, solutions to many problems of the complex analysis are based on application of
D.B. Katz, B.A. Kats
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