Quantum differentiability on quantum tori
arXiv:1909.03659 · doi:10.1007/s00220-019-03384-w
Abstract
We provide a full characterisation of quantum differentiability (in the sense of Connes) on quantum tori. We also prove a quantum integration formula which differs substantially from the commutative case.
arXiv commentPublished online in Comm. Math. Phys
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Cited by in corpus (4)
- Quantum differentiability on noncommutative Euclidean spaces
- Sharp estimates of noncommutative Bochner-Riesz means on two-dimensional quantum tori
- Cwikel Estimates and Negative Eigenvalues of Schroedinger Operators on Noncommutative Tori
- Hörmander type Fourier multiplier theorem and Nikolskii inequality on quantum tori, and applications