Abstract
We give sufficient conditions for regularizing a distribution of the form \( a(\sigma,\lambda)f(\lambda) \), where \( f(\lambda) \) is a distribution holomorphic in the parameter \( \lambda \), while \( a(\sigma,\lambda) \) is an infinitely differentiable function of \( \sigma \) outside some closed set \( N \) with power singularities of derivatives on \( N \) and holomorphic in \( \lambda \).
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Translated from Sibirskii Matematicheskii Zhurnal, 2023, Vol. 64, No. 6, pp. 1279–1303. https://doi.org/10.33048/smzh.2023.64.613
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Pavlov, A.L. Regularization of a Distribution Holomorphic in a Parameter. Sib Math J 64, 1399–1419 (2023). https://doi.org/10.1134/S0037446623060137
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DOI: https://doi.org/10.1134/S0037446623060137