5 papers · 1 filter
Revisiting Fischer decompositions by inframonogenic functions
Daniel Alfonso Santiesteban, Ricardo Abreu Blaya, Juan Bory Reyes +1
We explore Fischer decompositions from the perspective of inframonogenic functions in Clifford analysis, a non-commutative version of harmonic functions in Euclidean spaces. We stu…
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…
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…