Polyakova, D. A. On the continuous linear right inverse for a convolution operator. (English) Zbl 1490.44006 Kusraev, Anatoly G. (ed.) et al., Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15–20, 2019. Cham: Birkhäuser. Trends Math., 163-184 (2021). MSC: 44A35 46E10 46F05 PDF BibTeX XML Cite \textit{D. A. Polyakova}, in: Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15--20, 2019. Cham: Birkhäuser. 163--184 (2021; Zbl 1490.44006) Full Text: DOI OpenURL
Polyakova, D. A. General solution of the homogeneous convolution equation in spaces of ultradifferentiable functions. (English. Russian original) Zbl 1437.44006 St. Petersbg. Math. J. 31, No. 1, 85-105 (2020); translation from Algebra Anal. 31, No. 1, 114-142 (2019). MSC: 44A35 46E10 PDF BibTeX XML Cite \textit{D. A. Polyakova}, St. Petersbg. Math. J. 31, No. 1, 85--105 (2020; Zbl 1437.44006); translation from Algebra Anal. 31, No. 1, 114--142 (2019) Full Text: DOI OpenURL
Polyakova, Dar’ya Aleksandrovna On a particular solution of a nonhomogeneous convolution equation in spaces of ultradifferentiable functions. (Russian. English summary) Zbl 1463.44009 Vladikavkaz. Mat. Zh. 20, No. 4, 67-75 (2018). MSC: 44A35 46E10 PDF BibTeX XML Cite \textit{D. A. Polyakova}, Vladikavkaz. Mat. Zh. 20, No. 4, 67--75 (2018; Zbl 1463.44009) Full Text: DOI MNR OpenURL
Abanina, D. A. Solvability of convolution equations in the Beurling spaces of ultradifferentiable functions of mean type on an interval. (English. Russian original) Zbl 1278.46036 Sib. Math. J. 53, No. 3, 377-392 (2012); translation from Sib. Mat. Zh. 53, No. 3, 477-494 (2012). Reviewer: Sergii Sharyn (Ivano-Frankivsk) MSC: 46F05 46E10 44A35 34A35 PDF BibTeX XML Cite \textit{D. A. Abanina}, Sib. Math. J. 53, No. 3, 377--392 (2012; Zbl 1278.46036); translation from Sib. Mat. Zh. 53, No. 3, 477--494 (2012) Full Text: DOI OpenURL
Abanina, D. A. Representation of solutions of convolution equations in nonquasianalytic Beurling classes of ultradifferentiable functions of mean type. (English. Russian original) Zbl 1257.30064 Russ. Math. 55, No. 6, 1-8 (2011); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2011, No. 6, 3-11 (2011). MSC: 30H99 46E10 PDF BibTeX XML Cite \textit{D. A. Abanina}, Russ. Math. 55, No. 6, 1--8 (2011; Zbl 1257.30064); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2011, No. 6, 3--11 (2011) Full Text: DOI OpenURL