Search Results - regularity of quaternionic functions

A corresponding Cullen-regularity for split-quaternionic-valued functions by Kim, Ji Eun

“… Cullen’s form, we research hyperholomorphy and the properties of functions of split-quaternionic variables which are expressed by hyperbolic coordinates…”
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Application of slice regularity to functions of a dual-quaternionic variable by Kim, Ji Eun

“…In this paper, we present the algebraic properties of dual quaternions and define a slice regularity of a dual quaternionic function…”
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A New Type of Quaternionic Regularity by Vajiac, A.

“…I introduce a notion of quaternionic regularity using techniques based on hypertwined analysis, a refined version of general hypercomplex theory…”
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Notions of Regularity for Functions of a Split-Quaternionic Variable by Emanuello, John A, Nolder, Craig A

“…Notions of a "holomorphic" function theory for functions of a split-quaternionic variable have been of recent interest…”
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Quaternionic Regularity via AnalyticFunctional Calculus: Quaternionic Regularity by Vasilescu, Florian-Horia

“…Let M be the complexification of the quaternionic algebra H.For each function F : U → M, where U ⊂ C, we define a transformationF _H…”
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Quaternionic slice regularity beyond slice domains by Ghiloni, Riccardo, Stoppato, Caterina

“…After Gentili and Struppa introduced in 2006 the theory of quaternionic slice regular functions, the theory has focused on functions on the so-called slice domains…”
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Regularity of Solutions to the Quaternionic Monge–Ampère Equation by Kołodziej, Sławomir, Sroka, Marcin

“…The regularity of solutions to the Dirichlet problem for the quaternionic Monge–Ampère equation is discussed…”
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Quaternionic Regularity via Analytic Functional Calculus by Vasilescu, Florian-Horia

“…Let M be the complexification of the quaternionic algebra H . For each function F : U ↦ M , where U…”
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Partial slice regularity and Fueter's theorem in several quaternionic variables by Binosi, Giulio

“…We extend some definitions and give new results about the theory of slice analysis in several quaternionic variables…”
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Quaternionic contact Einstein structures and the quaternionic contact Yamabe problem by Ivanov, Stefan, Minchev, Ivan, Vassilev, Dimiter

“…A partial solution of the quaternionic contact Yamabe problem on the quaternionic sphere is given…”
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Geometric Structures on the Quaternionic Unit Ball and Slice Regular Möbius Transformations by Quiroga-Barranco, Raul

“…Building from ideas of hypercomplex analysis on the quaternionic unit ball, we introduce Hermitian, Riemannian…”
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Quaternionic slice regularity beyond slice domains by Ghiloni, Riccardo, Stoppato, Caterina

“…After Gentili and Struppa introduced in 2006 the theory of quaternionic slice regular function, the theory has focused on functions on the so-called slice domains…”
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Quaternionic Regularity via Analytic Functional Calculus by Florian-Horia Vasilescu

“… In particular, we show that the slice quaternionic regularity can be characterized via a Cauchy type transform acting on the space of analytic \(\mathbb{M…”
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Partial slice regularity and Fueter's Theorem in several quaternionic variables by Binosi, Giulio

“…We extend some definitions and give new results about the theory of slice analysis in several quaternionic variables…”
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COUNTING DISCRETE, LEVEL-\(1\), QUATERNIONIC AUTOMORPHIC REPRESENTATIONS ON \(G_2\)

“…Quaternionic automorphic representations are one attempt to generalize to other groups the special place holomorphic modular forms have among automorphic representations of \(\mathrm {GL}_2\). Here, we use ‘hyperendoscopy…”
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On an attempt to introduce a notion of bounded index for the Fueter regular functions of the quaternionic variable by V. P. Baksa, A. I. Bandura

“…There is introduced a concept of index for the Fueter regular function of the quaternionic variables…”
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Quaternionic regularity and the -Neumann problem in by Perotti, A.

“…Let Ω be a domain in the quaternionic space . We prove a differential criterion that characterizes Fueter-regular quaternionic functions of class C 1…”
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Quaternionic Wavelets by Hogan, J. A., Morris, Andrew Joel

“…Quaternion-valued functions have been used as a model for colour images and have recently been studied using various Fourier-type transforms…”
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Energy Dissipation and Regularity in Quaternionic Fluid Dynamics using Sobolev-Besov Spaces by Rômulo Damasclin Chaves dos Santos

“…This study investigates the dynamics of incompressible fluid flows through quaternionic variables integrated within Sobolev-Besov spaces…”
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On Penrose integral formula and series expansion of k -regular functions on the quaternionic space H n by Kang, Qianqian, Wang, Wei

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