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The Harmonicity of Slice Regular Functions [PDF]
The Journal of Geometric Analysis, 2020 AbstractIn this article, we investigate harmonicity, Laplacians, mean value theorems, and related topics in the context of quaternionic analysis. We observe that a Mean Value Formula for slice regular functions holds true and it is a consequence of the well-known Representation Formula for slice regular functions over $${\mathbb {H}}$$
Cinzia Bisi, Jörg Winkelmann
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$*$-logarithm for slice regular functions
Rendiconti Lincei, Matematica e Applicazioni, 2023 In this paper, we study the (possible) solutions of the equation \exp_*(f)=g , where g is a slice regular never vanishing function on a circular domain of the ...
Amedeo Altavilla, Chiara de Fabritiis
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Математичні Студії, 2022 Let $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e. we study functions which are analytic in intersection of every slice $\{z^0+t\mathbf{
A. I. Bandura, T. M. Salo, O. B. Skaskiv
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Note on boundedness of the $L$-index in the direction of the composition of slice entire functions
Математичні Студії, 2022 We study a composition of two functions belonging to a class of slice holomorphic functions in the whole $n$-dimensional complex space. The slice holomorphy in the space means that for some fixed direction $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\
V. P. Baksa +3 more
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Axioms, 2023 We obtain the separability of mixed-norm Herz-slice spaces, establish a weak convergence on mixed-norm Herz-slice spaces, and get the boundedness of the Calderón–Zygmund operator T on mixed-norm Herz-slice spaces.
Lihua Zhang, Jiang Zhou
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Errata to: The algebra of slice functions
Transactions of the American Mathematical Society, 2023 We correct the statement and proof of [Trans. Amer. Math. Soc. 369 (2021), pp. 5509–5544, Proposition 4.10] and straighten out [Trans. Amer. Math. Soc. 369 (2021), pp. 5509–5544, Example 4.13] accordingly. We take this chance to correct a sentence within [Trans. Amer. Math. Soc. 369 (2021), pp. 5509–5544, Examples 1.13].
Ghiloni, Riccardo +2 more
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Slice Holomorphic Functions in the Unit Ball Having a Bounded L-Index in Direction
Axioms, 2020 Let b∈Cn\{0} be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e., we study functions that are analytic in the intersection of every slice {z0+tb:t∈C} with the unit ball Bn={z∈C:|z|:=|z|12 ...
Andriy Bandura +2 more
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Slice Fueter-Regular Functions [PDF]
The Journal of Geometric Analysis, 2021 33 ...
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Application of slice regularity to functions of a dual-quaternionic variable
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, we present the algebraic properties of dual quaternions and define a slice regularity of a dual quaternionic function. Since the product of dual quaternions is non-commutative, slice regularity is derived in two ways.
Ji Eun Kim
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Game Optimization Strategy for Multi-tenant Network Resource Allocation [PDF]
Jisuanji gongcheng, 2022 To cope with the differentiated service requirements among users in 5G and future networks and to ameliorate the problems of low resource utilization and high deployment costs for multi-tenant network slicing, we propose a game optimization strategy for ...
ZHENG Zhenkang, ZHOU Jinhe
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