Separation and disconjugacy.
Sequences of differential operators: exponentials, hypercyclicity and equicontinuity
An eigenvalue criterion for hypercyclicity due to the first author is improved. As a consequence, some new sufficient conditions for a sequence of infinite order linear differential operators to be hypercyclic on the space of holomorphic functions on certain domains of are shown. Moreover, several necessary conditions are furnished. The equicontinuity of a family of operators as above is also studied, and it is characterized if the domain is . The results obtained extend or improve earlier work...
Shape-preserving properties and asymptotic behaviour of the semigroup generated by the Black-Scholes operator
The paper is devoted to a careful analysis of the shape-preserving properties of the strongly continuous semigroup generated by a particular second-order differential operator, with particular emphasis on the preservation of higher order convexity and Lipschitz classes. In addition, the asymptotic behaviour of the semigroup is investigated as well. The operator considered is of interest, since it is a unidimensional Black-Scholes operator so that our results provide qualitative information on the...
Singular integrals supported on the image of an analytic function.
Sobre La Cohomologia Asociada A Un Operador Lineal Diferencial Complejo.
Solutions analytiques des équations invariantes sur un groupe compact ou complexe réductif
Dans la première partie on caractérise les opérateurs différentiels invariants sur un groupe de Lie compact qui possèdent diverses propriétés de résolubilité analytiques : pour cela on développe en séries de Fourier les fonctions analytiques et les hyperfonctions sur le groupe.La deuxième partie est l’étude de la résolubilité des opérateurs invariants sur un groupe complexe réductif dans l’espace des fonctions holomorphes ; on développe celles-ci en série de “Laurent” suivant un sous-groupe compact...
Some Inequalities Associated with Certain Ordinary Differential Operators.
Some integral representations of differentiable functions.
Some operational properties of the H-R operator
Some remarks concerning regularity of solutions for abstract differential equations
Some spectral properties of one Sturm-Liouville type problem with discontinuous weight.
Some weighted sum and product inequalities in spaces and their applications.
Spaces of D-paraanalytic elements [Book]
Spectral analysis and synthesis
Spectral analysis for differential operators with singularities.
Spectral analysis of an operator associated with linear functional differential equations and its applications.
Spectral Properties of a Linear Operator Connected with Solutions of Linear Differential Equations in Banach Spaces.
Spectral properties of general self-adjoint, even order differential operators
Spectral properties of the Klein–Gordon -wave equation with spectral parameter-dependent boundary condition.
Spectral theory and Cauchy problems on Lp spaces.