Analysis on real affine -varieties.
Analytic families of semigroups.
Analytic semigroups generated on a functional extrapolation space by variational elliptic equations
We prove that any elliptic operator of second order in variational form is the infinitesimal generator of an analytic semigroup in the functional space consinsting of all derivatives of hölder-continuous functions in where is a domain in not necessarily bounded. We characterize, moreover the domain of the operator and the interpolation spaces between this and the space . We prove also that the spaces can be considered as extrapolation spaces relative to suitable non-variational operators....
Analytic semigroups in Banach algebras and a theorem of Hille
Analytic semigroups on vector valued noncommutative -spaces
We give sufficient conditions on an operator space E and on a semigroup of operators on a von Neumann algebra M to obtain a bounded analytic or R-analytic semigroup ( on the vector valued noncommutative -space . Moreover, we give applications to the functional calculus of the generators of these semigroups, generalizing some earlier work of M. Junge, C. Le Merdy and Q. Xu.
Analytic vectors and generation of one-parameter groups
Analyticity for some degenerate one-dimensional evolution equations
We study the analyticity of the semigroups generated by some degenerate second order differential operators in the space C([α,β]), where [α,β] is a bounded real interval. The asymptotic behaviour and regularity with respect to the space variable are also investigated.
Analyticity of absorption semigroups.
Analyticity of the propagators of second order linear differential equations in Banach spaces.
Analyticity of thermo-elastic semigroups with coupled hinged/Neumann boundary conditions.
Analyticity of thermo-elastic semigroups with free boundary conditions
Analyticity of transition semigroups and closability of bilinear forms in Hilbert spaces
We consider a semigroup acting on real-valued functions defined in a Hilbert space H, arising as a transition semigroup of a given stochastic process in H. We find sufficient conditions for analyticity of the semigroup in the space, where μ is a gaussian measure in H, intrinsically related to the process. We show that the infinitesimal generator of the semigroup is associated with a bilinear closed coercive form in . A closability criterion for such forms is presented. Examples are also given....
Analytische Vektoren von Faltungshalbgruppen. I.
Application de la théorie d'extrapolation pour la résolution des équations différentielles à retard homogènes.
Applications of autoreproducing kernel moduli to the study on interpolability and minimality of a class of stationary Hilbertian varieties
Applications of operator semigroups to Fourier analysis.
Applications of the Kantorovich-Rubinstein maximum principle in the theory of Markov semigroups [Book]
Approximate solution of an inhomogeneous abstract differential equation
Recently, we have developed the necessary and sufficient conditions under which a rational function approximates the semigroup of operators generated by an infinitesimal operator . The present paper extends these results to an inhomogeneous equation .
Approximate solutions of abstract differential equations
The methods of arbitrarily high orders of accuracy for the solution of an abstract ordinary differential equation are studied. The right-hand side of the differential equation under investigation contains an unbounded operator which is an infinitesimal generator of a strongly continuous semigroup of operators. Necessary and sufficient conditions are found for a rational function to approximate the given semigroup with high accuracy.
Approximately Invariant Subspaces for Unbounded Linear Operators. II.