We construct and study a new polyconvolution of functions , and for the Hartley integral transform . We will show that polyconvolution satisfies the following factorization equality:
We prove the existence of this polyconvolution in the space . As examples, applications to solve an integral equation of polyconvolution type and a system of integral equations of polyconvolution type are presented.
"Polyconvolution of Hartley integral transforms $H_2$ and integral equations." J. Integral Equations Applications 32 (2) 171 - 180, Summer 2020. https://doi.org/10.1216/jie.2020.32.171