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Discrete q-Hermitian Clifford analysis
Baruch Schneider, Diana Schneiderová, Yifan Zhang
We develop a discrete -Hermitian Clifford calculus based on coordinatewise Jackson differences on multiplicative -lattices. The resulting Hermitian Jackson--Dirac operators a…
Optimal location of small favourable regions for Robin eigenvalues with indefinite weights
Baruch Schneider, Diana Schneiderová, Yifan Zhang
We consider the positive principal eigenvalue of an elliptic problem with a Robin boundary condition and bang--bang indefinite weight , and a…
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, but scalar operations suppress the incidence and…
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…
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…
Asymptotic minimization of the first Dirichlet eigenvalue in a square with two hard obstacles
Baruch Schneider, Diana Schneiderová, Yifan Zhang
We study an asymptotic minimization problem for the first Dirichlet eigenvalue in the square , where two equal hard circular obstacles of radius move inside wit…