2 papers
math.SP2026
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…
math.FA2025
Tsallis' q-analysis, new scales of interpolating spaces and q-rational functions
Daniel Alpay, Paula Cerejeiras, Uwe Kaehler
We are studying the fundamental tools for a quantum calculus based on the Tsallis -exponential In particular we are looking at -Fock spaces, structural identities, as well as…