Inégalités de Sobolev et minorations du semi-groupe de la chaleur
Infinitesimal generators for a class of polynomial processes
We study the infinitesimal generators of evolutions of linear mappings on the space of polynomials, which correspond to a special class of Markov processes with polynomial regressions called quadratic harnesses. We relate the infinitesimal generator to the unique solution of a certain commutation equation, and we use the commutation equation to find an explicit formula for the infinitesimal generator of free quadratic harnesses.
Initial-boundary value problem in nonlinear hyperbolic thermoelasticity. Some applications in continuum mechanics [Book]
Integral representation of functions on sectors, functional calculus and norm estimates.
Integral representations of resolvents and semigroups.
Integrated cosine functions.
Integrated semigroups and integrodifferential equations.
Integrated Semigroups and Integrodifferential Equations.
Integrated semigroups and their application to complete second order Cauchy problems.
Integrated semigroups, C-semigroups, and the abstract Cauchy problem.
Integrated semigroups of unbounded linear operators -- Cauchy problem. II.
Integrated version of the Post-Widder inversion formula for Laplace transforms
We establish an inversion formula of Post-Widder type for -multiplied vector-valued Laplace transforms (α > 0). This result implies an inversion theorem for resolvents of generators of α-times integrated families (semigroups and cosine functions) which, in particular, provides a unified proof of previously known inversion formulae for α-times integrated semigroups.
Integration and the Feynman-Kac formula
Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry.
We introduce and study a notion of Orlicz hypercontractive semigroups. We analyze their relations with general F-Sobolev inequalities, thus extending Gross hypercontractivity theory. We provide criteria for these Sobolev type inequalities and for related properties. In particular, we implement in the context of probability measures the ideas of Maz'ja's capacity theory, and present equivalent forms relating the capacity of sets to their measure. Orlicz hypercontractivity efficiently describes the...
Interpolation for (positive) C0-semigroups on Lp-spaces.
Interpolation linéaire associée à un générateur de semi-groupe intégré
Interpolation of Operator Ideals with an Application to Eigenvalue Distribution Problems.
Interpolation of semigroups and integrated semigroups.
Interpolation properties associated with the second order abstract Cauchy problem.
Intertwining of Markov semi-groups, some examples