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Alexandre Kirilov

Observed names: A. Kirilov, Kirilov Alexandre, Kirilov, Alexandre
ORCID: 0000-0001-5343-488X
Observed ORCID: 0000-0001-5343-488X
OpenAlex ID: A5083479561
Global hypoellipticity and global solvability for vector fields on compact Lie groups
2020 · Alexandre Kirilov, Wagner A.A. de Moraes, et al. · Journal of Functional Analysis · 30
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Global solvability and global hypoellipticity for a class of complex vector fields on the 3-torus
2015 · Adalberto P. Bergamasco, Paulo L. Dattori da Silva, et al. · Journal of Pseudo-Differential Operators and Applications · 27
Global solvability for a class of overdetermined systems
2007 · Adalberto P. Bergamasco, Alexandre Kirilov · Journal of Functional Analysis · 26
Partial Fourier series on compact Lie groups
2020 · Alexandre Kirilov, Wagner A.A. de Moraes, et al. · Bulletin des Sciences Mathématiques · 22
Global Hypoellipticity for a Class of Pseudo-differential Operators on the Torus
2018 · Fernando de Ávila Silva, Rafael Borro Gonzalez, et al. · Journal of Fourier Analysis and Applications · 20
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Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields
2019 · Alexandre Arias Junior, Alexandre Kirilov, et al. · Journal of Mathematical Analysis and Applications · 19
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Global hypoellipticity for first-order operators on closed smooth manifolds
2018 · Fernando de Ávila Silva, Todor Gramchev, et al. · Journal d Analyse Mathématique · 19
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On the global solvability for overdetermined systems
2012 · Adalberto Bergamasco, Alexandre Kirilov, et al. · Transactions of the American Mathematical Society · 19
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Perturbations of globally hypoelliptic operators on closed manifolds
2018 · Fernando de Ávila Silva, Alexandre Kirilov · Journal of Spectral Theory · 15
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Global analytic hypoellipticity for a class of evolution operators on T 1 × S 3
2021 · Alexandre Kirilov, Ricardo Paleari, et al. · Journal of Differential Equations · 12
Global solutions to involutive systems
2015 · A. Bergamasco, A. Kirilov, et al. · Proceedings of the American Mathematical Society · 11
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Global hypoellipticity for strongly invariant operators
2020 · Alexandre Kirilov, Wagner A.A. de Moraes · Journal of Mathematical Analysis and Applications · 10
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Global Properties of Vector Fields on Compact Lie Groups in Komatsu Classes
2021 · Alexandre Kirilov, Wagner A. A. de Moraes, et al. · Zeitschrift für Analysis und ihre Anwendungen · 7
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On the global solvability of involutive systems
2016 · Adalberto P. Bergamasco, Cleber de Medeira, et al. · Journal of Mathematical Analysis and Applications · 7
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Global solvability and hypoellipticity for evolution operators on tori and spheres
2024 · Alexandre Kirilov, André Pedroso Kowacs, et al. · Mathematische Nachrichten · 6
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Systems of differential operators in time-periodic Gelfand–Shilov spaces
2024 · Fernando de Ávila Silva, Marco Cappiello, et al. · Annali di Matematica Pura ed Applicata (1923 -) · 6
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Diagonal Systems of Differential Operators on Compact Lie Groups
2025 · P. L. Dattori da Silva, A. Kirilov, et al. · Results in Mathematics · 4
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C k Solvability near the Characteristic set for a Class of Vector Fields of Infinite Type
2008 · Wanderley Cerniauskas, Alexandre Kirilov · Matemática Contemporânea · 4
Solvability of a class of evolution operators on compact Lie groups
2026 · Kirilov, Alexandre, de Moraes, Wagner Augusto Almeida, et al. · arXiv (Cornell University) · 3
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Global solutions for systems of strongly invariant operators on closed manifolds
2026 · Alexandre Kirilov, Wagner de Moraes, et al. · Proceedings of the American Mathematical Society · 3
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Global Gevrey Hypoellipticity of Involutive Systems on Non-Compact Manifolds
2026 · Coriasco, Sandro, Kirilov, Alexandre, et al. · arXiv (Cornell University) · 2
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Global hypoellipticity and solvability with loss of derivatives on the torus
2025 · André Pedroso Kowacs, Alexandre Kirilov · Journal of Functional Analysis · 2
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On the Sobolev boundedness of vector fields on compact Riemannian manifolds
2025 · Duván Cardona, Alexandre Kirilov, et al. · Journal of Pseudo-Differential Operators and Applications · 2
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Global properties of vector fields on compact Lie groups in Komatsu classes. II. Normal forms
2022 · Alexandre Kirilov, Wagner A. A. de Moraes, et al. · Communications on Pure &amp Applied Analysis · 2
Global and Partial Fourier Series for Denjoy-Carleman Classes on the Torus
2019 · Kirilov, Alexandre, Victor, Bruno de Lessa · arXiv (Cornell University) · 2
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Works count: 40
Citation count: 287
H-index: 11
I10-index: 12
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