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Ivanova, Ol’ga Aleksandrovna; Melikhov, Sergeĭ Nikolaevich

On invertibility of Duhamel operator in spaces of ultradifferentiable functions. (Russian. English summary) Zbl 07863375

Ufim. Mat. Zh. 15, No. 4, 61-74 (2023); translation in Ufa Math. J. 15, No. 4, 62-75 (2023).

MSC: 46E10 47B38

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Gürdal, M.; Garayev, M.; Tapdigoglu, R.; Altıntaş, M.

Some applications of the \(\alpha\)-Duhamel product. (English) Zbl 1525.46031

J. Anal. 31, No. 2, 1557-1572 (2023).

MSC: 46J15 46E15

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Soltani, Fethi; Nenni, Meriem

Difference and primitive operators on the Dunkl-type Fock SPACE \(\mathscr{F}_{\alpha }(\mathbb{C}^d)\). (English) Zbl 1532.32003

J. Math. Sci., New York 266, No. 6, Series A, 917-932 (2022).

MSC: 32A15 46E22

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Ivanova, O. A.; Melikhov, S. N.

Cyclic vectors and invariant subspaces of the backward shift operator in Schwartz modules. (English. Russian original) Zbl 1522.47022

Funct. Anal. Appl. 56, No. 3, 188-198 (2022); translation from Funkts. Anal. Prilozh. 56, No. 3, 39-51 (2022).

MSC: 47A16 47A15 47B37 46E25

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Ivanova, O. A.; Melikhov, S. N.; Melikhov, Yu. N.

Invariant subspaces of the generalized backward shift operator and rational functions. (English. Russian original) Zbl 07618891

St. Petersbg. Math. J. 33, No. 6, 927-942 (2022); translation from Algebra Anal. 33, No. 6, 49-70 (2021).

MSC: 47A15 46E10 47B37

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Ivanova, O. A.; Melikhov, S. N.

On the commutant of the generalized backward shift operator in weighted spaces of entire functions. (English) Zbl 07437837

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., 37-48 (2021).

MSC: 47-XX 46E10 47B37 47A05 30D15

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