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Paper   IPM / Physic / 6495
School of Physics
  Title:   Q-Analytic Functions on Quantum Spaces
1.  A. Shafei Deh Abad
2.  V. Milani
  Status:   Published
  Journal: J. Math. Phys.
  No.:  27
  Vol.:  35
  Year:  1994
  Pages:   5074-5086
  Supported by:  IPM
In this article a different interpretation is given of the quantum plane introduced by Manin and the Q-analytic functions on its two-intervals are characterized. The A1(q) modules of Q-analytic functions defined in this article are in fact noncommutative associative algebras with unity, which can be considered as the deformations of the algebras of analytic functions on the two intervals of R2. Some results obtained by this approach are briefly mentioned.

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