6 citations · 25 across the 35 of their papers we have counts for
38 papers
A note on the hypercomplex singular Cauchy-like integral in Douglis analysis
Isidro Paulino-Basurto, Jean Marie Vilaire, José Oscar González-Cervantes +1
Hypercomplex analysis extends classical complex analysis to Douglis algebras, replacing holomorphic functions with hyperanalytic functions, i.e., null solutions of the Douglis oper…
Three-dimensional reconstruction of weakly scattering objects from single-defocus 4D-STEM data
Kousuke Ooe, Yufan Shen, Yuichi Shimakawa +2
Three-dimensional (3D) atomic-structure analysis is of central importance in (scanning) transmission electron microscopy (STEM). STEM techniques to reconstruct 3D structure include…
Mobius invariant weighted reduced quaternionic Qp-modules
Isidro Paulino-Basurto, José Oscar González-Cervantes, Juan Bory-Reyes +1
In this paper, we introduce some weighted reduced quaternionic modules induced by a reduced quaternionic Cauchy-Riemann operator associated to arbitrary orthogonal bases of R3. A w…
Covariance property for a quaternionic fractional Cauchy-Riemann operator under affine transformation
Isidro Paulino-Basurto, José Oscar Gonzáles-Cervantes, Juan Bory-Reyes +1
In this paper, we continue the development of the foundations of a quaternionic function theory that is associated to a fractional proportional Cauchy-Riemann type operator acting…
On the Riemann Boundary Value Problem for Poly- and Meta-hyperanalytic Function Spaces over d-summable Curves
Yan Dai, Juan Bory-Reyes, Fuli He
Hyperanalytic functions, in the sense established by the mathematician Avron Douglis, are Douglis algebra-valued functions defined via a hypercomplex structure rather than the stan…
Exceptional supersphere integration and logarithmic Pizzetti kernels
Juan Bory-Reyes, Baruch Schneider, Diana Schneiderova +1
We study orthosymplectically invariant supersphere integration at the exceptional superdimensions , where the harmonic Fischer structure becomes nonsemisimple and the Pizzet…
A connection between quaternionic slice regular and Fueter hyperholormorphic functions
José Oscar González-Cervantes, Daniel González-Campos, Juan Bory-Reyes +1
This paper presents some results for the slice regular functions and hyperholomorphic functions theories, as consequences of new relationships between the global operator , Fuet…
Right q-vector calculus at integral superdimension: localized decompositions and resonance
Juan Bory-Reyes, Baruch Schneider, Diana Barseghyan Schneiderová +1
We specialize the intrinsic right -vector derivative on radial algebras to integral superdimension. The formal dimension is encoded by an independent coefficient , and formal…
A Non-integer Dimensional Space Approach to the Moisil-Teodorescu Operator
Juan Bory-Reyes, Marco Antonio Pérez-de la Rosa, José Oscar González-Cervantes +1
The vector calculus in non-integer dimensional space (NIDS), including the NIDS version of the standard vector differential operators (gradient, divergence, and curl) is well-known…
On the Negation of a Hyperbolic-Valued Probability Distribution
Juan Bory-Reyes, Edil D. Molina-Fernandez, José M. Sigarreta-Almira
In the context of hyperbolic numbers we define the concept of negation of finite hyperbolicvalued probability distributions that is based on the partial order induced by the idempo…
Intrinsic {Right} -Radial Vector Derivatives and Localized Fischer Decompositions on Radial Algebras
Diana Barseghyan, Juan Bory-Reyes, Baruch Schneider +1
We define intrinsic right \(q\)-radial vector derivatives on radial algebras of abstract vector variables. For a finite parameter set \(Y\), a scalar Jackson calculus on \(x^2\) an…
Some global operators and the material derivative
J. O. González-Cervantes, D. González-Campos, J. Bory-Reyes
The theory of the operator is deeply associated with th…
Magnetic Dirichlet Laplacian on a perturbed twisted tube
Diana Barseghyan, Ricardo Abreu Blaya, Juan Bory-Reyes +1
It is well known that the spectrum of the Dirichlet Laplacian for a compact perturbation of a three-dimensional, periodically twisted tube is unstable with respect to domain deform…
On slice regular fractal-fractional Dirichlet type spaces
José Oscar González-Cervantes, Carlos Alejandro Moreno-Muñoz, Juan Bory-Reyes
In this paper, we study some families of right modules of quaternionic slice regular functions induced by a generalized fractal-fractional derivative with respect to a truncated qu…
Three-dimensional magnetic Schrödinger operator with the potential supported in a tube
Diana Barseghyan, Juan Bory-Reyes, Baruch Schneider
In this paper, we study the following magnetic Schrödinger operator in : \[ H=(i \nabla +A)^2- \tilde{V}, \] where is non-negative potential supported ove…
On quaternionic analysis and a certain generalized fractal-fractional -Fueter operator
Juan Adrián Ramírez-Belman, José Oscar González-Cervantes, Juan Bory-Reyes
This paper introduce a fractal ψ-Fueter operator in the quaternionic context inspired in the concepts of proportional derivative and Hausdorff derivative (fractal derivative) of a…
A notion of fractional slice monogenic functions with respect to a pair of real valued functions
José Oscar González Cervantes, Juan Bory-Reyes
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…
Lieb-Thirring type estimates for Dirichlet Laplacians on spiral-shaped domains
Juan Bory-Reyes, Diana Barseghyan, Baruch Schneider
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 re…
A Borel-Pompeiu formula in a -model of quaternionic analysis
José Oscar González-Cervantes, Juan Bory-Reyes, Irene Sabadini
The study of hyperholomorphic functions defined on domains in with values in , namely null-solutions of the Fueter operator, is a topic which captu…
A d-summable approach to Deng information dimension of complex networks
Aldo Ramirez-Arellano, Juan Bory--Reyes
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 def…
A bicomplex proportional fractional weighted Cauchy-Riemann operator using Riemann-Liouville derivatives with respect to an hyperbolic-valued function
José Oscar González-Cervantes, Juan Adrián Ramírez-Belman, Juan Bory-Reyes
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 $(\varthe…
Magnetic Schrödinger operator with the potential supported in a curved two-dimensional strip
Juan Bory Reyes, Baruch Schneider, Diana Schneiderova
We consider the magnetic Schrödinger operator with a non-negative potential supported over a strip which is a local deformation of a straight one, and th…
The Borel-Pompieu formula involving proportional fractional -Cauchy-Riemann operators
José Oscar González-Cervantes, Isidro Paulino-Basurto, Juan Bory-Reyes
We prove an analog of the quaternionic Borel-Pompieu formula in the sense of proportional fractional -Cauchy-Riemann operators via Riemann-Liouville derivative with respect to a…
Fractional slice regular functions of a quaternionic variable
José Oscar González-Cervantes, Juan Bory-Reyes, Irene Sabadini
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 establi…