Publications

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In Press
Karlovych, Oleksiy, and Márcio Valente. "On the operator and essential norms of Fourier convolution operators and Wiener-Hopf operators with the same symbol." Proceedings of IWOTA 2023. Birkhäuser, In Press.
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2025
Karlovych, Oleksiy, and Márcio Valente. "On the algebra of singular integral operators with almost periodic coefficients." Achievements and Challenges in the Field of Convolution Operators. The Yuri Karlovich Anniversary Volume. Operator Theory: Advances and Applications, vol. 306. Eds. Albrecht Böttcher, Oleksiy Karlovych, Eugene Shargorodsky, and Ilya Spitkovsky. Cham: Birkhäuser, 2025. 247-262.
2024
Karlovych, Oleksiy, and Márcio Valente. "On the algebras of Wiener-Hopf operators with continuous symbols acting on some Banach function spaces." Analysis Without Borders. Operator Theory: Advances and Applications, vol 297. Ed. Sergei Rogosin. 2024. 123-144.
2022
Fernandes, Cláudio, Oleksiy Karlovych, and Márcio Valente. "On the density of Laguerre functions in some Banach function spaces." Journal of Inequalities and Special Functions. 13.2 (2022): 37-45.Website
2021
Fernandes, Cláudio A., Alexei Yu. Karlovich, and Márcio Valente. "Invertibility of Fourier convolution operators with piecewise continuous symbols on Banach function spaces." Transactions of A. Razmadze Mathematical Institute. 175.1 (2021): 49-61.Website