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GENERALIZED TRANSLATION OPERATORS AND MARKOV PROCESSES
Demonstratio Mathematica, 2001 Summary: We study the relationship between generalized translation operators and stochastic convolutions on locally compact spaces. We prove that stochastic convolution semigroups can generate Lévy type processes which are strong Markov Feller processes and, as an example, we study the Bingham convolution and its dual on integers.
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Proceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen Series A, Indagationes Mathematicae, 1984 For many problems of harmonic analysis of eigenfunction expansions associated with a Sturm-Liouville equation it is indispensable to find an appropriate convolution structure. This can be achieved by introducing a generalized translation operator and by deriving suitable norm estimates.
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Non-Markovian dynamics under time-translation symmetry
Physical Review Research, 2022 A dynamical symmetry is employed to determine the structure of the quantum non-Markovian time-local master equation. Such a structure is composed from two components: scalar kinetic coefficients and the standard quantum Markovian operator form.
Roie Dann, Nina Megier, Ronnie Kosloff
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Kinematic twist-three contributions to pseudo- and quasi-GPDs and translation invariance
Journal of High Energy Physics, 2023 We present explicit expressions for the tree-level “kinematic” twist-three contributions to the nucleon matrix elements of gauge-invariant nonlocal quark-antiquark operators which can be used in lattice calculations of generalized parton distributions ...
V. M. Braun
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Elliptic Equations with Arbitrarily Directed Translations in Half-Spaces
Известия Иркутского государственного университета: Серия "Математика", 2023 In this paper, we investigate the half-space Dirichlet problem for elliptic differential-difference equations with superpositions of differential operators and translation operators acting in arbitrary directions parallel to the boundary hyperplane.
V. V. Liiko, A. B. Muravnik
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Mathematics, 2021 As a typical model of three-way decisions (3WD), decision-theoretic rough sets (DTRS), have gained attention from scholars in decision-making problems.
Miin-Shen Yang +2 more
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On the Boundedness of the Generalized Translation Operator on Variable Exponent Lebesgue Spaces
Acta Applicandae Mathematicae, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ismail Ekincioglu +2 more
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General Euler-Poisson-Darboux Equation and Hyperbolic B-Potentials
Современная математика: Фундаментальные направления, 2019 In this work, we develop the theory of hyperbolic equations with Bessel operators. We construct and invert hyperbolic potentials generated by multidimensional generalized translation. Chapter 1 contains necessary notation, definitions, auxiliary facts and
E L Shishkina
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New sign uncertainty principles
Discrete Analysis, 2023 New sign uncertainty principles, Discrete Analysis 2023:9, 46 pp. The famous Heisenberg uncertainty principle is an inequality that states that the product of the variances of a function $f$ and its Fourier transform $\hat f$ is bounded below by an ...
Felipe Gonçalves +2 more
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Generalized weighted Besov spaces on the Bessel hypergroup
Journal of Function Spaces and Applications, 2006 In this paper we study generalized weighted Besov type spaces on the Bessel-Kingman hypergroup. We give different characterizations of these spaces in terms of generalized convolution with a kind of smooth functions and by means of generalized ...
Miloud Assal, Hacen Ben Abdallah
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