Finite-dimensional Calogero representation of the $q$-differential operator

R. Chakrabarti; R. Jagannathan

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arXiv · q-alg/9504021

Finite-dimensional Calogero representation of the $q$-differential operator

R. Chakrabarti·R. Jagannathan

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Abstract

A finite-dimensional matrix representation of the Jackson $q$-differential operator $D_q$, defined by $D_qf(x)$ $=$ $(f(qx)-f(x))/(x(q-1))$, is written down following Calogero. Such a representation of $D_q$ should have applications in $q$-analysis leading to the corresponding extensions of the numerous results of Calogero's work.

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BibTeX RIS

R. Chakrabarti, R. Jagannathan. 1995-04-24. Finite-dimensional Calogero representation of the $q$-differential operator. https://arxiv.org/abs/q-alg/9504021

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