2010/07/27 by Piotr Multarzynski, Multarzynski, Piotr
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA
paper · pdf · doi:10.48550/arxiv.1008.0672
arxiv created 2010/12/26 · arxiv updated 2010/12/30
An algebraic analysis framework for quantum calculus is proposed. The quantum derivative operator Dτ,σ is based on two commuting bijections τ and σ defined on an arbitrary set M equipped with a tension structure determined by a single tension function θ, i.e. a 1-dimensional case is analyzed here. The well known cases, i.e. h- and q-calculi together with their symmetric versions, can be obtained owing to special choice of mappings τ and σ.