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Linearly reducible linear difference operators
Aequationes mathematicae, 1971 Charles H. Franke
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Algebraic independence and linear difference equations [PDF]
Journal of the European Mathematical Society (Print), 2020 We consider pairs of automorphisms $(\phi,\sigma)$ acting on fields of Laurent or Puiseux series: pairs of shift operators $(\phi\colon x\mapsto x+h_1, \sigma\colon x\mapsto x+h_2)$, of $q$-difference operators $(\phi\colon x\mapsto q_1x,\ \sigma\colon x\
B. Adamczewski +3 more
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IEEE Access, 2021 Polygon shape is an important factor affecting the efficiency of vector polygon overlay analysis. Aiming at the problems that polygon shape is difficult to accurately measure and different algorithms have different sensitivities to the same polygon in ...
Peng Zhang +5 more
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Linear finite difference operators preserving the Laguerre–Pólya class [PDF]
Complex Variables and Elliptic Equations, 2017 We completely describe all finite difference operators of the form $$ Δ_{M_1, M_2, h}(f)(z)=M_1(z) f(z+h) + M_2(z) f(z-h) $$ preserving the Laguerre-Pólya class of entire functions. Here $M_1$ and $M_2$ are some complex functions and $h$ is a nonzero complex number.
Katkova, O. +2 more
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Study of the property (bz) using local spectral theory methods
Arab Journal of Basic and Applied Sciences, 2023 For a bounded linear operator, by local spectral theory methods, we study the property [Formula: see text] which means that the difference of the approximate point spectrum with the upper semi-Fredholm spectrum coincides with the set of all finite-range ...
Elvis Aponte, Jose Soto, Ennis Rosas
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Network centrality and portfolio optimization using the genetic algorithm [PDF]
Mathematics and Modeling in Finance, 2021 This study aims to optimize the portfolio using the genetic operator and network centralization. The statistical population of the study is the top 50 companies of Tehran Stock Exchange, in the first quarter of 2021, and to calculate the size of ...
Asghar Abolhasani Hastiany +1 more
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Bounded Solutions of Semi-Linear Parabolic Differential Equations with Unbounded Delay Terms
Mathematics, 2023 In the present work, an initial boundary value problem (IBVP) for the semi-linear delay differential equation in a Banach space with unbounded positive operators is studied.
Allaberen Ashyralyev +1 more
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Discrete spherical means of directional derivatives and Veronese maps [PDF]
, 2011 We describe and study geometric properties of discrete circular and spherical means of directional derivatives of functions, as well as discrete approximations of higher order differential operators.
Alexander Belyaev +36 more
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Linear Differential-Difference Operators and their Adjoints [PDF]
Proceedings of the American Mathematical Society, 1970 The formal adjoint for a first order matrix differential-difference operator is shown to be a true Hilbert space adjoint, and conditions under which such operators are selfadjoint (in a Hilbert space sense) are derived. Differential-difference operators whose domains are defined by a given initial function cannot be selfadjoint, whereas certain ...
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OperatorNet: Recovering 3D Shapes From Difference Operators [PDF]
IEEE International Conference on Computer Vision, 2019 This paper proposes a learning-based framework for reconstructing 3D shapes from functional operators, compactly encoded as small-sized matrices. To this end we introduce a novel neural architecture, called OperatorNet, which takes as input a set of ...
Ruqi Huang +4 more
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