Integrated semigroups and their application to complete second order Cauchy problems.
Integration and the Feynman-Kac formula
Interpolation for (positive) C0-semigroups on Lp-spaces.
Invariant measures for semigroups
Invariant states for positive operator semigroups
Invariant Subspaces and Spectral Conditions on Operator Semigroups
Inverse Cauchy problem and unbiased estimation
Inverses of generators of nonanalytic semigroups
Suppose A is an injective linear operator on a Banach space that generates a uniformly bounded strongly continuous semigroup . It is shown that generates an -regularized semigroup. Several equivalences for generating a strongly continuous semigroup are given. These are used to generate sufficient conditions on the growth of , on subspaces, for generating a strongly continuous semigroup, and to show that the inverse of -d/dx on the closure of its image in L¹([0,∞)) does not generate a strongly...
Joint subnormality of n-tuples and C₀-semigroups of composition operators on L²-spaces
Joint subnormality of a family of composition operators on L²-space is characterized by means of positive definiteness of appropriate Radon-Nikodym derivatives. Next, simplified positive definiteness conditions guaranteeing joint subnormality of a C₀-semigroup of composition operators are supplied. Finally, the Radon-Nikodym derivatives associated to a jointly subnormal C₀-semigroup of composition operators are shown to be the Laplace transforms of probability measures (modulo a C₀-group of scalars)...
Joint subnormality of n-tuples and C₀-semigroups of composition operators on L²-spaces, II
In the previous paper, we have characterized (joint) subnormality of a C₀-semigroup of composition operators on L²-space by positive definiteness of the Radon-Nikodym derivatives attached to it at each rational point. In the present paper, we show that in the case of C₀-groups of composition operators on L²-space the positive definiteness requirement can be replaced by a kind of consistency condition which seems to be simpler to work with. It turns out that the consistency condition also characterizes...
Kato's equality and spectral decomposititon for positive C0-Groups.
-Непрерывные селекторы неподвижных точек многозначных отображений с разложимыми значениями. III. Приложения
Laplace transform generation theorems and local Cauchy problems.
Lie generators for one parameter semigroups of transformations.
Limits of Certain Iterates of Post-Widder Operators.
Linear abstract integro-differential equations of hyperbolic type in Hilbert spaces
Linear approximation processes in locally convex spaces. I. Semigroups of operators and saturation.
Linearized stability for hyperbolic evolution equations with semilinear boundary conditions.
Linearized stability results in continuous interpolation spaces
Local ergodic properties of -operator semigroups