# zbMATH — the first resource for mathematics

## Kirilov, Alexandre

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 Author ID: kirilov.alexandre Published as: Kirilov, A.; Kirilov, Alexandre External Links: ORCID
 Documents Indexed: 14 Publications since 2007
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#### Co-Authors

 0 single-authored 5 Bergamasco, Adalberto Panobianco 3 de Ávila Silva, Fernando 3 De Medeira, Cleber 3 de Moraes, Wagner A. A. 3 Zani, Sérgio Luís 2 Gonzalez, Rafael Borro 2 Gramchev, Todor V. 2 Nunes, Wagner Vieira Leite 2 Ruzhansky, Michael V. 1 Arias Junior, Alexandre 1 Cerniauskas, Wanderley A. 1 Dattori da Silva, Paulo L. 1 De Leo, Roberto
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#### Serials

 3 Journal of Mathematical Analysis and Applications 2 Journal of Functional Analysis 1 Journal d’Analyse Mathématique 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Bulletin des Sciences Mathématiques 1 The Journal of Fourier Analysis and Applications 1 Matemática Contemporânea 1 Journal of Pseudo-Differential Operators and Applications 1 Journal of Spectral Theory
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#### Fields

 13 Partial differential equations (35-XX) 6 Global analysis, analysis on manifolds (58-XX) 2 Abstract harmonic analysis (43-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX)

#### Citations contained in zbMATH

13 Publications have been cited 59 times in 28 Documents Cited by Year
Global solvability for a class of overdetermined systems. Zbl 1158.58011
2007
On the global solvability for overdetermined systems. Zbl 1275.35004
Bergamasco, Adalberto P.; Kirilov, Alexandre; Nunes, Wagner Vieira Leite; Zani, Sérgio Luís
2012
Global solvability and global hypoellipticity for a class of complex vector fields on the 3-torus. Zbl 1336.35124
Bergamasco, Adalberto P.; Dattori da Silva, Paulo L.; Gonzalez, Rafael B.; Kirilov, Alexandre
2015
Global solutions to involutive systems. Zbl 1330.35078
Bergamasco, A. P.; Kirilov, A.; Nunes, W. V. L.; Zani, S. L.
2015
Global hypoellipticity for first-order operators on closed smooth manifolds. Zbl 1408.35239
de Ávila Silva, Fernando; Gramchev, Todor; Kirilov, Alexandre
2018
Perturbations of globally hypoelliptic operators on closed manifolds. Zbl 1430.58019
De Ávila Silva, Fernando; Kirilov, Alexandre
2019
On the global solvability of involutive systems. Zbl 1359.37107
Bergamasco, Adalberto P.; de Medeira, Cleber; Kirilov, Alexandre; Zani, Sérgio L.
2016
Global hypoellipticity for strongly invariant operators. Zbl 1435.35129
Kirilov, Alexandre; de Moraes, Wagner A. A.
2020
Global hypoellipticity for a class of pseudo-differential operators on the torus. Zbl 1418.35088
de Ávila Silva, Fernando; Gonzalez, Rafael Borro; Kirilov, Alexandre; de Medeira, Cleber
2019
Global solvability in functional spaces for smooth nonsingular vector fields in the plane. Zbl 1248.35046
DeLeo, Roberto; Gramchev, Todor; Kirilov, Alexandre
2011
$$C^k$$ solvability near the characteristic set for a class of vector fields of infinite type. Zbl 1195.35100
Cerniauskas, W. A.; Kirilov, A.
2009
Partial Fourier series on compact Lie groups. Zbl 1450.22002
Kirilov, Alexandre; de Moraes, Wagner A. A.; Ruzhansky, Michael
2020
Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields. Zbl 1418.35087
Arias Junior, Alexandre; Kirilov, Alexandre; de Medeira, Cleber
2019
Global hypoellipticity for strongly invariant operators. Zbl 1435.35129
Kirilov, Alexandre; de Moraes, Wagner A. A.
2020
Partial Fourier series on compact Lie groups. Zbl 1450.22002
Kirilov, Alexandre; de Moraes, Wagner A. A.; Ruzhansky, Michael
2020
Perturbations of globally hypoelliptic operators on closed manifolds. Zbl 1430.58019
De Ávila Silva, Fernando; Kirilov, Alexandre
2019
Global hypoellipticity for a class of pseudo-differential operators on the torus. Zbl 1418.35088
de Ávila Silva, Fernando; Gonzalez, Rafael Borro; Kirilov, Alexandre; de Medeira, Cleber
2019
Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields. Zbl 1418.35087
Arias Junior, Alexandre; Kirilov, Alexandre; de Medeira, Cleber
2019
Global hypoellipticity for first-order operators on closed smooth manifolds. Zbl 1408.35239
de Ávila Silva, Fernando; Gramchev, Todor; Kirilov, Alexandre
2018
On the global solvability of involutive systems. Zbl 1359.37107
Bergamasco, Adalberto P.; de Medeira, Cleber; Kirilov, Alexandre; Zani, Sérgio L.
2016
Global solvability and global hypoellipticity for a class of complex vector fields on the 3-torus. Zbl 1336.35124
Bergamasco, Adalberto P.; Dattori da Silva, Paulo L.; Gonzalez, Rafael B.; Kirilov, Alexandre
2015
Global solutions to involutive systems. Zbl 1330.35078
Bergamasco, A. P.; Kirilov, A.; Nunes, W. V. L.; Zani, S. L.
2015
On the global solvability for overdetermined systems. Zbl 1275.35004
Bergamasco, Adalberto P.; Kirilov, Alexandre; Nunes, Wagner Vieira Leite; Zani, Sérgio Luís
2012
Global solvability in functional spaces for smooth nonsingular vector fields in the plane. Zbl 1248.35046
DeLeo, Roberto; Gramchev, Todor; Kirilov, Alexandre
2011
$$C^k$$ solvability near the characteristic set for a class of vector fields of infinite type. Zbl 1195.35100
Cerniauskas, W. A.; Kirilov, A.
2009
Global solvability for a class of overdetermined systems. Zbl 1158.58011
2007
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#### Cited by 22 Authors

 10 Kirilov, Alexandre 9 Bergamasco, Adalberto Panobianco 7 Dattori da Silva, Paulo L. 6 Gonzalez, Rafael Borro 6 Zani, Sérgio Luís 5 De Medeira, Cleber 4 de Ávila Silva, Fernando 3 de Moraes, Wagner A. A. 3 Zugliani, Giuliano Angelo 2 da Silva, Evandro Raimundo 2 De Leo, Roberto 2 Hounie, Jorge G. 2 Nunes, Wagner Vieira Leite 2 Ruzhansky, Michael V. 1 Arias Junior, Alexandre 1 Ebert, Marcelo Rempel 1 Ferra, Igor A. 1 Gramchev, Todor V. 1 Jorge da Silva, Marcio Antonio 1 Marques, Jorge M. C. 1 Parmeggiani, Alberto 1 Velasquez-Rodriguez, Juan Pablo
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#### Cited in 16 Serials

 5 Journal of Mathematical Analysis and Applications 4 Journal of Differential Equations 2 Archiv der Mathematik 2 Transactions of the American Mathematical Society 2 Bulletin des Sciences Mathématiques 2 The Journal of Fourier Analysis and Applications 2 Journal of Pseudo-Differential Operators and Applications 1 Journal d’Analyse Mathématique 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 Mathematical Physics, Analysis and Geometry 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Journal of Spectral Theory
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#### Cited in 9 Fields

 27 Partial differential equations (35-XX) 10 Global analysis, analysis on manifolds (58-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX)