From the 1 of 7 linked papers with an AI index.
7 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…
Magnetic Dirichlet Laplacian on deformed waveguides
Daniel Alpay, Diana Barseghyan, Baruch Schneider
It is well known that the spectrum of the Dirichlet Laplacian for a two-dimensional waveguide, which is a local deformation of a straight strip, is unstable with respect to wavegui…
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…