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
Invariance of a closed convex set under a semigroup associated with a nonlinear form. (Invariance d'un convexe fermé par un semi-groupe associé à une forme non-linéaire.)
Invariant local Dirichlet forms on locally compact groups
Invariant measures for semigroups
Invariant measures for stochastic Cauchy problems with asymptotically unstable drift semigroup.
Invariant states for positive operator semigroups
Invariant Subspaces and Spectral Conditions on Operator Semigroups
Inverse Cauchy problem and unbiased estimation
Inverse limits need not exist in the category of compact spaces and Feller kernels: a counterexample