Search Results - \(\mathbb{bc}\)-convexity

An extension of the complex–real (C–R) calculus to the bicomplex setting, with applications by Alpay, Daniel, Diki, Kamal, Vajiac, Mihaela

“…In this paper, we extend notions of complex C−R$\mathbb {C} - \mathbb {R}$‐calculus to the bicomplex setting and compare the bicomplex polyanalytic function theory to the classical complex case…”
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Finite Dimensional Representations of the BC-graded Lie Algebra $${\mathfrak{g}_{2n + 1}}({\mathbb{C}_q}) by Chen, Hongjia, Chen, Qi

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Weighted composition operators on bicomplex Lorentz spaces with their characterization and properties by Eryılmaz, İlker

“…This article presents a characterization of non-singular measurable transformation, denoted as , mapping from to itself, along with bicomplex-valued…”
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Fermat's and Catalan's equations over $ M_2(\mathbb{Z}) by Li, Hongjian, Yuan, Pingzhi

“… such that $ bc\neq0 $ and let $ C(A) = \{B\in M_2(\mathbb{Z}): AB = BA\} $. In this paper, we give a necessary and sufficient condition for the solvability of the matrix…”
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The line integral of a BC-valued continuous function along a BC-continuous curve: The line integral of a BC\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{B}\mathbb{C}}$$\end{document}-valued continuous function by Koumantos, Panagiotis N.

“…In this article, we show the existence of the line integral in the bicomplex version, in the more general case that the bicomplex curve and the bicomplex…”
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On uniqueness of mild $$L^{3,\infty }$$-solutions on the whole time axis to the Navier–Stokes equations in unbounded domains by Taniuchi, Yasushi

“… is an unbounded domain, it is known that a small solution in $$BC(\mathbb R;L^{3,\infty })$$ B C ( R ; L 3 , ∞ ) is unique within the class of solutions which have sufficiently small…”
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A note on Köthe–Toeplitz duals and multiplier spaces of sequence spaces involving bicomplex numbers by Değirmen, Nilay, Sağır, Birsen

“…In this paper, we generalize the notions of the Köthe–Toeplitz duals of sequence spaces by introducing the concepts of bicomplex α-dual, bicomplex β-dual and…”
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Associativity of fusion products of \(C_1\)-cofinite \({\mathbb N}\)-gradable modules of vertex operator algebra by Miyamoto, Masahiko

“… \({\cal Y}^{AB},\ldots,{\cal Y}^{A(BC)}\) satisfying the universal properties for \({\mathbb N}\)-gradable modules, we prove that four-point correlation functions…”
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Uniqueness of almost periodic-in-time solutions to Navier–Stokes equations in unbounded domains by Farwig, Reinhard, Taniuchi, Yasushi

“…We present a uniqueness theorem for almost periodic-in-time solutions to the Navier–Stokes equations in 3-dimensional unbounded domains. Thus far, uniqueness…”
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Monochromatic Polynomial sumset structures on \(\mathbb{N}\) by Lian, Zhengxing, Xiao, Rongzhong

“… \(B,C\subset \mathbb{N}\) with \(|B|=r\) and \(|C|=\infty\) such that there exists a color containing \(B+aC\) and \(B+bC…”
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Limit transition between hypergeometric functions of type BC and type A by Rösler, Margit, Koornwinder, Tom, Voit, Michael

“… A for $t\in { \mathbb{R} }^{n} $ and $\lambda \in { \mathbb{C} }^{n} $. This limit is obtained from a corresponding result for Jacobi polynomials of type BC…”
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The non-resonant bilinear Hilbert-Carleson operator by Benea, Cristina, Bernicot, Frédéric, Lie, Victor, Vitturi, Marco

“…In this paper we introduce the class of bilinear Hilbert-Carleson operators {BCa}a>0 defined byBCa(f,g)(x):=supλ∈R⁡|∫f(x−t)g(x+t)eiλtadtt| and show that in the…”
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Approximate Pythagoras Numbers on \(\)-algebras over \(\mathbb{C}\) by Abbasi, Paria, Sander Gribling, Klingler, Andreas, Netzer, Tim

“… In this paper, we study how Pythagoras numbers in \(*\)-algebras over \(\mathbb{C}\) behave with respect to small perturbations of elements…”
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BC-system, absolute cyclotomy and the quantized calculus by Connes, Alain, Consani, Caterina

“…, K -theory of endomorphisms) of the “algebraic closure” of the absolute base \mathbb{S} . In this way we attain a conceptual meaning of the BC dynamical system at the most basic algebraic level…”
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Zabreiko's Lemma with Bicomplex and hyperbolic scalars and its applications by Rane, Akshay S, Thatte, Mandar

“… We shall prove the characterization of continuity of hyperbolic semi norm in this setup. We shall prove Zabreiko's lemma when \(X\) is a F, \(\mathbb{BC}\) module, where \(\mathbb{BC…”
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Pseudo Asymptotic Solutions of Fractional Order Semilinear Equations by Alvarez-Pardo, Edgardo, Lizama, Carlos

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Finite dimensional irreducible representations of the nullity 2 centreless core \(\mathfrak{g}_{2n,\rho}(\mathbb{C}_q)\) by Bhargava, Sandeep, Chen, Hongjia, Gao, Yun

“…We study the finite-dimensional irreducible representations of the nullity 2 centreless core \(\mathfrak{g}_{2n,\rho}(\mathbb{C}_q…”
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Asymptotics for the number of directions determined by \([n] \times [n]\) in \(\mathbb{F}_p^2\) by Martin, Greg, White, Ethan Patrick, Yip, Chi Hoi

“… \(A\) of length \(n\) in \(\mathbb{F}_p\), we establish an asymptotic formula for the number of directions determined by \(A \times A \subset \mathbb{F}_p^2…”
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Berezin regularity of domains in C^n and the essential norms of Toeplitz operators by Cuckovic, Zeljko, Sahutoglu, Sonmez

“… \(\widetilde{\phi}\) also belongs to \(C(\overline{\mathbb{D}})\). We say that \(\mathbb{D}\) is BC-regular. In this paper we study BC-regularity of some pseudoconvex domains…”
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BC-SABE: Blockchain-Aided Searchable Attribute-Based Encryption for Cloud-IoT by Liu, Suhui, Yu, Jiguo, Xiao, Yinhao, Wan, Zhiguo, Wang, Shengling, Yan, Biwei

“… Therefore, this article proposes a blockchain-aided searchable attribute-based encryption (BC-SABE…”
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