Zobrazeno 1 - 10
of 352
pro vyhledávání: '"Bory-Reyes Juan"'
This work presents the basic elements and results of a Clifford algebra valued fractional slice monogenic functions theory defined from the null-solutions of a suitably fractional Cauchy-Riemann operator in the Riemann-Liouville and Caputo sense with
Externí odkaz:
http://arxiv.org/abs/2411.11198
In this paper we derive Lieb-Thirring estimates for eigenvalues of Dirichlet Laplacians below the threshold of the essential spectrum on asymptotically Archimedean spiral-shaped regions.
Externí odkaz:
http://arxiv.org/abs/2406.00580
The study of $\psi-$hyperholomorphic functions defined on domains in $\mathbb R^4$ with values in $\mathbb H$, namely null-solutions of the $\psi-$Fueter operator, is a topic which captured great interest in quaternionic analysis. This class of funct
Externí odkaz:
http://arxiv.org/abs/2401.00620
Several new network information dimension definitions have been proposed in recent decades, expanding the scope of applicability of this seminal tool. This paper proposes a new definition based on Deng entropy and d-summability (a concept from geomet
Externí odkaz:
http://arxiv.org/abs/2309.02542
Based on the Riemann-Liouville derivatives with respect to functions taking values in the set of hyperbolic numbers, we consider a novel bicomplex proportional fractional $(\vartheta,\varphi)-$weighted Cauchy-Riemann operator, involving weights hyper
Externí odkaz:
http://arxiv.org/abs/2308.15655
We prove an analog of the quaternionic Borel-Pompieu formula in the sense of proportional fractional $\psi$-Cauchy-Riemann operators via Riemann-Liouville derivative with respect to another function.
Externí odkaz:
http://arxiv.org/abs/2308.14158
The theory of slice regular functions of a quaternionic variable on the unit ball of the quaternions was introduced by Gentili and Struppa in 2006 and nowadays it is a well established function theory, especially in view of its applications to operat
Externí odkaz:
http://arxiv.org/abs/2306.11861
The main goal of this paper is to construct a proportional analogues of the quaternionic fractional Fueter-type operator recently introduced in the literature. We start by establishing a quaternionic version of the well-known proportional fractional
Externí odkaz:
http://arxiv.org/abs/2306.08654
Publikováno v:
In Journal of Differential Equations 25 January 2025 416 Part 2:1729-1746
The purpose of this paper is to establish a Borel-Pompeiu type formula induced from a fractional bicomplex $(\vartheta,\varphi)-$weighted Cauchy-Riemann operator, where the weights are two hyperbolic orthogonal bicomplex functions and the fractionali
Externí odkaz:
http://arxiv.org/abs/2206.02269