Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, vol.55, 1964. ,
Regularizing effect and local existence for the non-cutoff Boltzmann equation, Arch. Ration. Mech. Anal, vol.198, issue.1, pp.39-123, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-01116729
Quadratic differential equations: partial Gelfand-Shilov smoothing effect and nullcontrollability, Journal of the Institute of Mathematics of Jussieu, pp.1-53, 2020. ,
Smoothing properties of fractional Ornstein-Uhlenbeck semigroups and null-controllability, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01888835
Polar decomposition of semigroups generated by non-selfadjoint quadratic differential operators and regularizing effects, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02280971
, Lévy processes and stochastic calculus, vol.116, 2009.
Alternants and Continuous Groups, Proc. London Math. Soc, issue.2, pp.24-47, 1905. ,
Geometric conditions for the null-controllability of hypoelliptic quadratic parabolic equations with moving control supports, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02272856
Spectral inequality for finite combinations of Hermite functions and null-controllability of hypoelliptic quadratic equations, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01766300
Null-controllability of non-autonomous Ornstein-Uhlenbeck equations, J. Math. Anal. Appl, vol.456, issue.1, pp.496-524, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01355812
Null-controllability of hypoelliptic quadratic differential equations, J. Éc. polytech. Math, vol.5, pp.1-43, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01301604
Splitting methods for rotations : application to vlasov equations, to appear in SIAM, J. Sci. Comp, p.2178952 ,
L 2 estimates for Weyl quantization, J. Funct. Anal, vol.165, issue.1, pp.173-204, 1999. ,
Global L p estimates for degenerate Ornstein-Uhlenbeck operators, Math. Z, vol.266, issue.4, pp.789-816, 2010. ,
Introduction to noncommutative algebra, 2014. ,
Functional analysis, Sobolev spaces and partial differential equations, Universitext, Springer, 2011. ,
Entire extensions and exponential decay for semilinear elliptic equations, J. Anal. Math, vol.111, pp.339-367, 2010. ,
Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces, J. Anal. Math, vol.138, issue.2, pp.857-870, 2019. ,
Propagation of exponential phase space singularities for Schrödinger equations with quadratic Hamiltonians, J. Fourier Anal. Appl, vol.23, issue.3, pp.530-571, 2017. ,
, Control and nonlinearity, vol.136, 2007.
On the Ornstein-Uhlenbeck operator in spaces of continuous functions, J. Funct. Anal, vol.131, issue.1, pp.94-114, 1995. ,
, Stochastic equations in infinite dimensions, Encyclopedia of Mathematics and its Applications, vol.44, 1992.
, Linear operators. Part I, Wiley Classics Library, 1988.
Sharp geometric condition for null-controllability of the heat equation on R d and consistent estimates on the control cost, Arch. Math. (Basel), issue.1, pp.85-99, 2018. ,
Subelliptic pseudodifferential operators, Dokl. Akad. Nauk SSSR, vol.188, pp.20-22, 1969. ,
Subelliptic operators, Uspehi Mat. Nauk, vol.30, pp.57-104, 1975. ,
On a class of hypoelliptic operators with unbounded coefficients in R N , Commun, Pure Appl. Anal, vol.8, issue.4, pp.1159-1201, 2009. ,
Maximal regularity for Kolmogorov operators in L 2 spaces with respect to invariant measures, J. Math. Pures Appl, issue.9, pp.310-321, 2006. ,
Gelfand-Shilov type spaces through Hermite expansions, Pseudo-differential operators and generalized functions, vol.245, pp.95-105, 2015. ,
Eigenfunction expansions in R n, Proc. Amer. Math. Soc, vol.139, issue.12, pp.4361-4368, 2011. ,
Global classical solutions of the Boltzmann equation without angular cut-off, J. Amer. Math. Soc, vol.24, issue.3, pp.771-847, 2011. ,
Die symbolische Exponentialformel in der Gruppentheorie, Berichte der Sächsischen Akad. der Wissensch, vol.58, pp.19-48, 1906. ,
Anisotropic hypoelliptic estimates for Landau-type operators, J. Math. Pures Appl, issue.9, pp.513-552, 2011. ,
Spectra and semigroup smoothing for non-elliptic quadratic operators, Math. Ann, vol.344, issue.4, pp.801-846, 2009. ,
Semiclassical hypoelliptic estimates for non-selfadjoint operators with double characteristics, Comm. Partial Differential Equations, vol.35, issue.6, pp.988-1028, 2010. ,
Eigenvalues and subelliptic estimates for non-selfadjoint semiclassical operators with double characteristics, Ann. Inst. Fourier (Grenoble), vol.63, issue.3, pp.985-1032, 2013. ,
Short-time asymptotics of the regularizing effect for semigroups generated by quadratic operators, Bull. Sci. Math, vol.141, issue.7, pp.615-675, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01219734
From semigroups to subelliptic estimates for quadratic operators, Trans. Amer. Math. Soc, vol.370, issue.10, pp.7391-7415, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01219682
Subelliptic operators, Seminar on Singularities of Solutions of Linear Partial Differential Equations (Inst. Adv. Study, vol.91, pp.127-208 ,
The analysis of linear partial differential operators, vol.III, 1985. ,
The analysis of linear partial differential operators, vol.IV, 1985. ,
The analysis of linear partial differential operators, vol.I, 1990. ,
Symplectic classification of quadratic forms, and general Mehler formulas, Math. Z, vol.219, issue.3, pp.413-449, 1995. ,
, Matrix analysis, 1990.
Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band, vol.132, 1966. ,
Non-null-controllability of the Grushin operator in 2D, C. R. Math. Acad. Sci. Paris, vol.355, issue.12, pp.1215-1235, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01654043
Non-null-controllability of the fractional heat equation and of the Kolmogorov equation, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01829289
, Zufällige Bewegungen (zur Theorie der Brownschen Bewegung), pp.116-117, 1934.
Some results related to the Logvinenko-Sereda theorem, Proc. Amer. Math. Soc, vol.129, issue.10, pp.3037-3047, 2001. ,
On a class of hypoelliptic evolution operators, Rend. Sem. Mat. Univ. Politec. Torino, vol.52, issue.1, pp.29-63, 1994. ,
Null-controllability of the Kolmogorov equation in the whole phase space, J. Differential Equations, vol.260, issue.4, pp.3193-3233, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01134917
Contrôle exact de l'équation de la chaleur, Comm. Partial Differential Equations, vol.20, issue.1-2, pp.335-356, 1995. ,
Semi-classical estimates for non-selfadjoint operators, Asian J. Math, vol.11, issue.2, pp.217-250, 2007. ,
Metrics on the phase space and non-selfadjoint pseudo-differential operators, Pseudo-Differential Operators, Theory and Applications, vol.3, 2010. ,
Gelfand-Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation, J. Funct. Anal, vol.269, issue.2, pp.459-535, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-02343778
Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués, Recherches en Mathématiques Appliquées, vol.1, issue.2, 1988. ,
Equivalent norms in spaces of entire functions of exponential type, Teor. Funkci? Funkcional. Anal. i Prilo?en. Vyp, vol.20, pp.102-111, 1974. ,
Analytical methods for Markov semigroups, Pure and Applied Mathematics, vol.283, 2007. ,
On the Ornstein-Uhlenbeck operator in L 2 spaces with respect to invariant measures, Trans. Amer. Math. Soc, vol.349, issue.1, pp.155-169, 1997. ,
Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in R n, Ann. Scuola Norm. Sup. Pisa Cl. Sci, issue.4, pp.133-164, 1997. ,
, Interpolation theory, Lecture Notes, Scuola Normale Superiore di Pisa (New Series), Edizioni della Normale, 2009.
Spectral inequalities for combinations of Hermite functions and nullcontrollability for evolution equations enjoying Gelfand-Shilov smoothing effect, 2019. ,
Spectrum of Ornstein-Uhlenbeck operators in L p spaces with respect to invariant measures, J. Funct. Anal, vol.196, issue.1, pp.40-60, 2002. ,
Unique continuation estimates for the Laplacian and the heat equation on non-compact manifolds, Math. Res. Lett, vol.12, issue.1, pp.37-47, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00003099
On the controllability of anomalous diffusions generated by the fractional Laplacian, Math. Control Signals Systems, vol.18, issue.3, pp.260-271, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00008809
A direct Lebeau-Robbiano strategy for the observability of heat-like semigroups, Discrete Contin. Dyn. Syst. Ser. B, vol.14, issue.4, pp.1465-1485, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00411846
Ultra-analytic effect of Cauchy problem for a class of kinetic equations, J. Differential Equations, vol.247, issue.2, pp.596-617, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00368263
Global pseudo-differential calculus on Euclidean spaces, Pseudo-Differential Operators, Theory and Applications, vol.4, 2010. ,
On local solvability of linear partial differential equations. I. Necessary conditions, Comm. Pure Appl. Math, vol.23, pp.1-38, 1970. ,
Exponential return to equilibrium for hypoelliptic quadratic systems, J. Funct. Anal, vol.262, issue.9, pp.4000-4039, 2012. ,
Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators, J. Math. Anal. Appl, vol.429, issue.2, pp.676-712, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01110692
A Fast Algorithm for General Raster Rotation, in Graphics Gems, pp.179-195, 1990. ,
Semigroups of linear operators and applications to partial differential equations, Applied Mathematical Sciences, vol.44, 1983. ,
Contraction semigroups of elliptic quadratic differential operators, Math. Z, vol.259, issue.2, pp.363-391, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00145109
Subelliptic estimates for quadratic differential operators, Amer. J. Math, vol.133, issue.1, pp.39-89, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00315800
Generalized Mehler formula for time-dependent non-selfadjoint quadratic operators and propagation of singularities, Math. Ann, vol.372, issue.3-4, pp.1335-1382, 2018. ,
Estimations de résolvante et localisation du spectre pour certaines classes d'opérateurs pseudo-différentiels semi-classiques non autoadjoints, d'après Dencker, Sjöstrand et Zworski, Séminaire Bourbaki, 72ème année, 1169. ,
Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians, Math. Nachr, vol.291, issue.1, pp.128-159, 2018. ,
Linear partial differential operators in Gevrey spaces, 1993. ,
, Real and complex analysis, 1974.
Resolvent estimates for non-selfadjoint operators via semigroups, Around the research of Vladimir Maz'ya. III, Int. Math. Ser. (N. Y.), vol.13, pp.359-384, 2010. ,
Decompositions of Gelfand-Shilov kernels into kernels of similar class, J. Math. Anal. Appl, vol.396, issue.1, pp.315-322, 2012. ,
, A review of mathematical topics in collisional kinetic theory, Handbook of mathematical fluid dynamics, vol.I, pp.71-305, 2002.
Non-elliptic quadratic forms and semiclassical estimates for non-selfadjoint operators, Int. Math. Res. Not. IMRN, issue.20, pp.4615-4671, 2013. ,
Spectral projections and resolvent bounds for partially elliptic quadratic differential operators, J. Pseudo-Differ. Oper. Appl, vol.4, issue.2, pp.145-221, 2013. ,
The elliptic evolution of non-selfadjoint degree-2 Hamiltonians, 2017. ,
Propagation of polynomial phase space singularities for Schrödinger equations with quadratic Hamiltonians, Math. Scand, vol.122, issue.1, pp.107-140, 2018. ,
Observable set, observability, interpolation inequality and spectral inequality for the heat equation in R n, J. Math. Pures Appl, issue.9, pp.144-194, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01633333
Unique continuation estimates for the Kolmogorov equation in the whole space, C. R. Math. Acad. Sci. Paris, vol.354, issue.4, pp.389-393, 2016. ,
,
,
,
,
,
,
,
,
,
,
,
,
, , p.7
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
, , p.3