From the 1 of 11 linked papers with an AI index.
11 papers
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
The paper develops a rigorous right q‑vector calculus for radial algebras at integral superdimension, providing explicit coordinate realizations, Fischer decompositions, and a deta…
Intrinsic \(q\)-Radial Vector Derivatives and Localized Fischer Decompositions on Radial Algebras
Diana Barseghyan, Juan Bory-Reyes, Baruch Schneider +1
We construct intrinsic right q-radial vector derivatives on radial algebras. Here intrinsic means that the construction uses only the abstract radial variables and their central sc…
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 quaternionic analysis and a certain generalized fractal-fractional -Fueter operator
Juan Adrián RamÃrez-Belman, José Oscar González-Cervantes, Juan Bory-Reyes
This paper introduce a fractal Ï-Fueter operator in the quaternionic context inspired in the concepts of proportional derivative and Hausdorff derivative (fractal derivative) of a…