10 papers
Spectral properties of the magnetic Robin Laplacian on curvilinear half-plane
Diana Barseghyan, Baruch Schneider, Yifan Zhang
We analyse magnetic Robin Laplacian in curvilinear half-plane with a smooth boundary. It is well known that the spectrum of the Robin Laplacian is unstable with respect to boundary…
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…
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…
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…
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…