Suchergebnisse - Quaternionic generalized slice regular functions

On Some Quaternionic Generalized Slice Regular Functions von Cervantes, J. Oscar González

“… The quaternionic valued functions of a quaternionic variable, often referred to as slice regular functions, has been studied extensively due to the large number of generalized results of the theory …”
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On some quaternionic generalized slice regular functions von González-Cervantes, José Oscar

“… The quaternionic valued functions of a quaternionic variable, often referred to as slice regular functions has been studied extensively due to the large number of generali …”
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On Slice Regular Fractal–Fractional Dirichlet‐Type Spaces von González‐Cervantes, Jose Oscar, Moreno‐Muñoz, Carlos Alejandro, Bory‐Reyes, Juan

“… ABSTRACT In this paper, we study some families of right modules of quaternionic slice regular functions induced by a generalized fractal …”
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Quaternionic Slice Regular Functions and Quaternionic Laplace Transforms von Han, Gang

“… It is shown that the left slice regular functions and right slice regular functions are related by a particular involution, and that the intrinsic slice regular functions play a central role …”
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QUATERNIONIC SLICE REGULAR FUNCTIONS AND QUATERNIONIC LAPLACE TRANSFORMS von Gang HAN

“… is revealed.As an application,the classical Laplace transform is generalized naturally to quaternions in two different ways,which transform a quaternion-valued function of a real variable to a left or right slice regular …”
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Quaternionic exponentially dichotomous operators through S-spectral splitting and applications to Cauchy problem von Wang, Chao, Qin, Guangzhou, Agarwal, Ravi P.

“… In this paper, based on the slice regular quaternionic functions and spectral theory on the S-spectrum for quaternionic operators, firstly, the exponential growth bound of quaternionic operator …”
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Quaternionic slice regular functions and quaternionic Laplace transforms von Han, Gang

“… The classical Laplace transform can be naturally generalized to quaternions in two different ways, which transform a quaternion-valued function of a real variable to a left or right slice regular …”
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Kato S-Spectrum in the Quaternionic Setting von Thirulogasanthar, K., Muraleetharan, B.

“… -spectrum. Using right-slice regular functions, local S-spectrum, at a point of a right quaternionic Hilbert space, and the local spectral subsets are introduced and studied …”
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Slice-by-slice and global smoothness of slice regular and polyanalytic functions von Ghiloni, Riccardo

“… The concept of slice regular function over the real algebra H of quaternions is a generalization of the notion of holomorphic function of a complex variable. Let Ω ⊂ H be a domain, i.e …”
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Slice Fueter-Regular Functions von Ghiloni, Riccardo

“… Slice Fueter-regular functions, originally called slice Dirac-regular functions, are generalized holomorphic functions defined over the octonion algebra O …”
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Slice Spirallike Functions over Quaternions von Xu, Zhenghua, Zhang, Die, Liu, Yuan, Si, Jiajia

“… In this paper, we study the analogue of spirallikeness for slice regular functions of one quaternionic variable …”
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On axially rational regular functions and Schur analysis in the Clifford-Appell setting von Alpay, Daniel, Colombo, Fabrizio, De Martino, Antonino, Diki, Kamal, Sabadini, Irene

“… In this paper we start the study of Schur analysis for Cauchy–Fueter regular quaternionic-valued functions, i.e …”
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Weighted composition operator on quaternionic Fock space von Pan, Lian, Yu-Xia, Liang

“… In this paper, we study the weighted composition operator on the Fock space \(\mf\) of slice regular functions …”
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Kato S-spectrum in the quaternionic setting von Muraleetharan, B, Thirulogasanthar, K

“… -spectrum. Using right-slice regular functions, local S-spectrum, at a point of a right quaternionic Hilbert space, and the local spectral subsets are introduced and studied …”
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Slice Fueter-regular functions von Ghiloni, Riccardo

“… Slice Fueter-regular functions, originally called slice Dirac-regular functions, are generalized holomorphic functions defined over the octonion algebra \(\mathbb{O …”
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On the Carathéodory–Schur interpolation problem over quaternions von Bolotnikov, Vladimir

“… ) in the Schur class S H and the Carathéodory class C H of slice-regular functions on the unit quaternionic ball B that are, respectively, bounded by one in modulus and having positive real part in B …”
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Slice regular semigroups von Ghiloni, Riccardo, Recupero, Vincenzo

“… In this paper we introduce the notion of slice regular right linear semigroup in a quaternionic Banach space …”
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A unified theory of regular functions of a hypercomplex variable von Ghiloni, Riccardo, Stoppato, Caterina

“… functions of one quaternionic variable, this unified theory comprises Fueter-regular functions, slice-regular functions and a recently-discovered function class …”
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