Sampling theorem associated with q-Dirac system
Fatma H{\i}ra
TL;DR
This paper develops a q-analogue of sampling theory linked to the q-Dirac system, providing a sampling representation for transforms with kernels solving this system, including three specific examples.
Contribution
It introduces a novel q-analogue sampling theorem associated with the q-Dirac system, expanding sampling theory into the q-calculus framework.
Findings
Derived sampling representation for the q-Dirac system
Provided three illustrative examples
Extended classical sampling theory into q-calculus domain
Abstract
This paper deals with q-analogue of sampling theory associated with q-Dirac system. We derive sampling representation for transform whose kernel is a solution of this q-Dirac system. As a special case, three examples are given.
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