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Alexandre Kirilov
Alexandre Kirilov
Professor do Departamento de Matemática, Universidade Federal do Paraná
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Global solvability for a class of overdetermined systems
AP Bergamasco, A Kirilov
Journal of Functional Analysis 252 (2), 603-629, 2007
212007
Global solvability and global hypoellipticity for a class of complex vector fields on the 3-torus
AP Bergamasco, PLD Silva, RB Gonzalez, A Kirilov
Journal of Pseudo-Differential Operators and Applications 6, 341-360, 2015
202015
Global hypoellipticity for a class of pseudo-differential operators on the torus
F de Ávila Silva, RB Gonzalez, A Kirilov, C de Medeira
Journal of Fourier Analysis and Applications 25, 1717-1758, 2019
182019
Global hypoellipticity and global solvability for vector fields on compact Lie groups
A Kirilov, WAA de Moraes, M Ruzhansky
Journal of Functional Analysis 280 (2), 108806, 2021
172021
Global hypoellipticity for first-order operators on closed smooth manifolds
F de Ávila Silva, T Gramchev, A Kirilov
Journal d'Analyse Mathématique 135 (2), 527-573, 2018
162018
On the global solvability for overdetermined systems
A Bergamasco, A Kirilov, W Nunes, S Zani
Transactions of the American Mathematical Society 364 (9), 4533-4549, 2012
162012
Partial Fourier series on compact Lie groups
A Kirilov, WAA de Moraes, M Ruzhansky
Bulletin des Sciences Mathématiques 160, 102853, 2020
142020
Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields
AA Junior, A Kirilov, C de Medeira
Journal of Mathematical Analysis and Applications 474 (1), 712-732, 2019
142019
Perturbations of globally hypoelliptic operators on closed manifolds
F de Ávila Silva, A Kirilov
Journal of Spectral Theory 9 (3), 825-855, 2018
122018
Global solutions to involutive systems
A Bergamasco, A Kirilov, W Nunes, S Zani
Proceedings of the American Mathematical Society 143 (11), 4851-4862, 2015
112015
On the global solvability of involutive systems
AP Bergamasco, C de Medeira, A Kirilov, SL Zani
Journal of Mathematical Analysis and Applications 444 (1), 527-549, 2016
72016
Global analytic hypoellipticity for a class of evolution operators on T1× S3
A Kirilov, R Paleari, WAA de Moraes
Journal of Differential Equations 296, 699-723, 2021
52021
Global hypoellipticity for strongly invariant operators
A Kirilov, WAA de Moraes
Journal of Mathematical Analysis and Applications 486 (1), 123878, 2020
52020
Ck solvability near the characteristic set for a class of vector fields of infinite type
WA Cerniauskas, A Kirilov
Mat. Contemp 36 (91106), 10, 2009
52009
Global properties of vector fields on compact Lie groups in Komatsu classes
A Kirilov, WAA de Moraes, M Ruzhansky
Zeitschrift für Analysis und ihre Anwendungen 40 (4), 425-451, 2021
42021
Partial Fourier series on compact Lie groups. arXiv e-prints, page
A Kirilov, WAA de Moraes, M Ruzhansky
arXiv preprint arXiv:1909.12824, 2019
42019
Global solvability in functional spaces for smooth nonsingular vector fields in the plane
R DeLeo, T Gramchev, A Kirilov
Pseudo-Differential Operators: Analysis, Applications and Computations, 191-210, 2011
32011
Global properties of vector fields on compact Lie groups in Komatsu classes. II. Normal forms
A Kirilov, WAA de Moraes, M Ruzhansky
arXiv preprint arXiv:1911.02486, 2019
12019
On the Sobolev boundedness of vector fields on compact Riemannian manifolds
D Cardona, A Kirilov, WAA de Moraes, AP Kowacs
arXiv preprint arXiv:2404.00182, 2024
2024
Systems of differential operators in time-periodic Gelfand-Shilov spaces
FÁ Silva, M Cappiello, A Kirilov
arXiv preprint arXiv:2403.05096, 2024
2024
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Artikelen 1–20