Search Results - Quaternionic generalized slice regular functions

On Some Quaternionic Generalized Slice Regular Functions by 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…”
Get full text

On some quaternionic generalized slice regular functions by 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…”
Get full text

On Slice Regular Fractal–Fractional Dirichlet‐Type Spaces by 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…”
Get full text

Quaternionic Slice Regular Functions and Quaternionic Laplace Transforms by 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…”
Get full text

QUATERNIONIC SLICE REGULAR FUNCTIONS AND QUATERNIONIC LAPLACE TRANSFORMS by 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…”
Get full text

Quaternionic exponentially dichotomous operators through S-spectral splitting and applications to Cauchy problem by 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…”
Get full text

Quaternionic slice regular functions and quaternionic Laplace transforms by 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…”
Get full text

Kato S-Spectrum in the Quaternionic Setting by 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…”
Get full text

Slice-by-slice and global smoothness of slice regular and polyanalytic functions by 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…”
Get full text

Slice Fueter-Regular Functions by Ghiloni, Riccardo

“…Slice Fueter-regular functions, originally called slice Dirac-regular functions, are generalized holomorphic functions defined over the octonion algebra O…”
Get full text

Slice Spirallike Functions over Quaternions by 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…”
Get full text

On axially rational regular functions and Schur analysis in the Clifford-Appell setting by 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…”
Get full text

Weighted composition operator on quaternionic Fock space by Pan, Lian, Yu-Xia, Liang

“…In this paper, we study the weighted composition operator on the Fock space \(\mf\) of slice regular functions…”
Get full text

Kato S-spectrum in the quaternionic setting by 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…”
Get full text

Slice Fueter-regular functions by Ghiloni, Riccardo

“…Slice Fueter-regular functions, originally called slice Dirac-regular functions, are generalized holomorphic functions defined over the octonion algebra \(\mathbb{O…”
Get full text

On the Carathéodory–Schur interpolation problem over quaternions by 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…”
Get full text

Slice regular semigroups by Ghiloni, Riccardo, Recupero, Vincenzo

“…In this paper we introduce the notion of slice regular right linear semigroup in a quaternionic Banach space…”
Get full text

A unified theory of regular functions of a hypercomplex variable by 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…”
Get full text