Piotr Multarzynski. An algebraic analysis framework for quantum calculus

Natural Sciences / Mathematics / Algebra

Submitted on: Aug 30, 2012, 08:53:05

Description: An algebraic analysis framework for quantum calculus is proposed. The quantum derivative operator $D_{tau ,sigma}$ is based on two commuting bijections $tau$ and $sigma$ defined on an arbitrary set $M$ equipped with a tension structure determined by a single tension function $theta$, 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 $tau$ and $sigma$.

The Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.

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