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On condition of representing a subspace in Schwartz space invariant with respect to differentiation as direct sum of its residual and exponential components. (Russian. English summary) Zbl 07501566

Ufim. Mat. Zh. 13, No. 4, 3-7 (2021); translation in Ufa Math. J. 13, No. 4, 3-7 (2021).
MSC:  30D15 42A38
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Finite direct sums of cyclic embeddings. (English) Zbl 1468.05306

Assem, Ibrahim (ed.) et al., Advances in representation theory of algebras, ARTA VII. Conference in honor of José Antonio de la Peña’s 60th birthday, Instituto de Matemáticas, Universidad Nacional Autónoma de Mexico City, Mexico, September 24–28, 2018. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM). Contemp. Math. 761, 159-169 (2021).
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Invariant spaces of entire functions. (English. Russian original) Zbl 1483.46021

Math. Notes 109, No. 3, 413-426 (2021); translation from Mat. Zametki 109, No. 3, 380-396 (2021).
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Projectors on invariant subspaces of representations \(\text{ad}^{\otimes 2}\) of Lie algebras \(so(N)\) and \(sp(2r)\) and Vogel parameterization. (English. Russian original) Zbl 07364251

Theor. Math. Phys. 206, No. 1, 1-18 (2021); translation from Teor. Mat. Fiz. 206, No. 1, 3-22 (2021).
MSC:  17B20
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Dichotomous Hamiltonians and Riccati equations for systems with unbounded control and observation operators. (English) Zbl 07396964

Kerner, Joachim (ed.) et al., Control theory of infinite-dimensional systems. Contributions of the workshop, Fernuniversität Hagen, Hagen, Germany, January 10–12, 2018. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 277, 158-194 (2020).
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Qualitative studies of some biochemical models. (English. Russian original) Zbl 1461.76541

Vestn. St. Petersbg. Univ., Math. 53, No. 2, 214-222 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 2, 319-330 (2020).
MSC:  76V05 76M99 92C40
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