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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…
math.FA2023
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…