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math.CV2025
The -Dirac Operator on Quantum Euclidean Space
Swanhild Bernstein, Martha Lina Zimmermann, Baruch Schneider
This paper provides the foundations of quantum Clifford analysis in -commutative variables with symmetric difference operators. We consider a -Dirac operator on the quantum E…
math.CV2021
Beurling-Lax type theorems and Cuntz relations
D. Alpay, F. Colombo, I. Sabadini +1
We prove various Beurling-Lax type theorems, when the classical backward-shift operator is replaced by a general resolvent operator associated with a rational function. We also stu…