Nonlinear stationary surface waves above an underwater ridge.
Nouvelles estimations pour les opérateurs pseudo-différentiels
Noyaux d'une classe d'opérateurs pseudo-différentiels sur l'espace de Fock, et applications
On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem
We consider a class of nonlocal operators associated with an action of a compact Lie group G on a smooth closed manifold. Ellipticity condition and Fredholm property for elliptic operators are obtained. This class of operators is studied using pseudodifferential uniformization, which reduces the problem to a pseudodifferential operator acting in sections of infinite-dimensional bundles.
On a Class of Pseudodifferential Operators with Double Characteristics.
On a class of weighted function spaces and related pseudodifferential operators
On a general type of -adic parabolic equations.
On a proof of the boundedness and nuclearity of pseudodifferential operators in
On a symbol class of elliptic pseudodifferential operators
On asymptotic series of symbols and of general pseudo-differential operators
On Carleman Estimates for Pseudo-Differential Operators.
On Continuity of Singular Integral Operators in Sobolev Spaces.
On convergence of the polynomial collocation method for singular integral equations and periodic pseudodifferential equations.
On diamagnetism and de Haas-van Alphen effect
On Function Spaces of Variable Order of Differentiation.
On global hypoellipticity of vector fields
On Pseudo-Differential Operators and Smoothness of Special Lie-Group Representations.
On realizations related to Weyl operators.
On some analytical index formulas related to operator-valued symbols.
On the eigenvalues of a class of hypo-elliptic operators. IV
Let be a selfadjoint classical pseudo-differential operator of order with non-negative principal symbol on a compact manifold. We assume that is hypoelliptic with loss of one derivative and semibounded from below. Then exp, , is constructed as a non-classical Fourier integral operator and the main contribution to the asymptotic distribution of eigenvalues of is computed. This paper is a continuation of a series of joint works with A. Menikoff.