4 papers
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…
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…
Complete Nevanlinna-Pick kernels, the Schwarz lemma and the Schur algorithm
Daniel Alpay, Tirthankar Bhattacharyya, Abhay Jindal +1
We investigate the Schwarz lemma and the Schur algorithm for elements in the unit ball of the multiplier algebra of a reproducing kernel Hilbert space on the open unit ball whose k…
Convex Cones of Generalized Positive Rational Functions and Nevanlinna-Pick Interpolation
Daniel Alpay, Izchak Lewkowicz
Scalar rational functions with a non-negative real part on the right half plane, called positive, are classical in the study of electrical networks, dissipative systems, Nevanlinna…