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Study of the algebra of smooth integro-differential operators with applications
Abstract
We study the algebra of integro-differential operators with smooth coefficients and kernels on a subspace of C∞[a,b]. We find a normal form for elements of this algebra and determine its unit group. The formulation of inverses gives explicit solutions of inhomogeneous linear Volterra integro-differential equations and Volterra integral equations of first kind with smooth kernels.
Versions
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BibTeX
@misc{haghany2026study,
title = {{Study of the algebra of smooth integro-differential operators with applications}},
author = {Ahmad Haghany and Adel Kassaian},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.16038},
eprint = {2609.16038},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.16038},
}
RIS
TY - UNPB
TI - Study of the algebra of smooth integro-differential operators with applications
AU - Ahmad Haghany
AU - Adel Kassaian
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2609.16038
UR - https://arxiv.org/abs/2609.16038
AB - We study the algebra of integro-differential operators with smooth coefficients and kernels on a subspace of C^∞[a,b]. We find a normal form for elements of this algebra and determine its unit group. The formulation of inverses gives explicit solutions of inhomogeneous linear Volterra integro-differential equations and Volterra integral equations of first kind with smooth kernels.
ER -