TL;DR
This paper explores the relationship between middle convolution and Harnad duality, extending the operation to multiple parameters and irregular systems, offering new insights into their mathematical structure.
Contribution
It introduces a generalized multi-parameter middle convolution operation and connects it with Harnad duality, broadening the applicability to irregular singular systems.
Findings
Established a new interpretation of middle convolution via Harnad duality
Generalized the operation to multiple parameters
Extended the framework to irregular singular systems
Abstract
We interpret the additive middle convolution operation in terms of the Harnad duality, and as an application, generalize the operation to have a multi-parameter and act on irregular singular systems.
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