3 papers
math.FA2026
Hardy spaces on Riemann surfaces under ramified coverings
A. Zuevsky
We extend the theory of indefinite Hardy spaces on finite bordered Riemann surfaces to the setting of ramified analytic coverings. Given a finite -sheeted ramified covering $F\c…
cond-mat.mes-hall2026
Topological invariant responsible for the integer QHE and non-commutative geometry
G. Kovyrshin, A. Mekrami, J. Miller +2
We consider a wide class of tight - binding models of solid state physics. These models are, in the most general case, non - homogeneous. The topological invariant ${\cal N}_3…
math.FA2026
Non-Euclidean unification of isoperimetric profiles and grand Lebesgue-Sobolev scales
Daniel Levin, Alexander Zuevsky
Let be a complete separable metric measure space satisfying a doubling condition and a -Poincaré inequality. We develop a rigorous framework unifying two lines o…