6 papers
A Chain- and Diagram-Level Semantics for Morphological Calculus Refinement, monodromy, and bivector orbit decompositions
Baruch Schneider, Diana Schneiderová, Yifan Zhang
Morphological calculus represents decompositions of geometric objects by polynomial-like expressions in a symbol for the real line. Sommen's examples reveal two basic difficulties:…
Stable -Hermitian coordinate calculus: Capelli--PBW transport, mixed polarization algebra, and localization obstructions
Baruch Schneider, Diana Schneiderová, Yifan Zhang
We extend a finite-support -Hermitian radial calculus to Clifford-valued coordinate polynomials. For bosonic Hermitian vector labels and finite fermionic support, the stable…
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…
Lieb-Thirring bounds for Melik-Adamyan canonical Hamiltonians
Baruch Schneider, Diana Barseghyan Schneiderová, Yifan Zhang
We study a class of positive matrix Hamiltonians arising from the canonical differential expressions of Melik-Adamyan and appearing in the appendix of Alpay--Gohberg. Let and $…
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…
Optimisation of Robin Laplacian eigenvalue with indefinite weight in spherical shell
Baruch Schneider, Diana Schneiderova, Yifan Zhang
This paper is concerned with an optimisation problem of Robin Laplacian eigenvalue with respect to an indefinite weight, which is formulated as a shape optimisation problem thanks…