Integral representations and transforms of -functions. I.
Integral representations and transforms of -functions. II.
Integral representations in convex cones
Integral representations of resolvents and semigroups.
Integral representations of unbounded operators by infinitely smooth kernels
In this paper, we prove that every unbounded linear operator satisfying the Korotkov-Weidmann characterization is unitarily equivalent to an integral operator in L 2(R), with a bounded and infinitely smooth Carleman kernel. The established unitary equivalence is implemented by explicitly definable unitary operators.
Integral solution operators for the Cauchy-Riemann equations on pseudoconvex domains.
Integral transforms of vector measures on semigroups with applications to spectral operators.
Integral weighted convolution operators.
Integraldarstellung regulärer Operatoren auf Banachverbänden.
Intégrales de résolvantes et calcul symbolique
Soit une transformée de Stieltjes. Notant un prolongement de la fonction à , on définit, pour tout espace de Banach et pour tout opérateur sur qui soit de domaine dense, fermé, d’ensemble résolvant contenant et qui vérifie , un opérateur qui est un opérateur sur de même nature que . On montre que l’on a (où désigne le spectre étendu). En outre, l’opération a d’excellentes propriétés de stabilité. En particulier, si et si est un potentiel abstrait, est un potentiel...
Intégrales singulières, opérateurs multilinéaires et équations aux dérivées partielles
Integral-type operators from a mixed norm space to a Bloch-type space on the unit ball.
Integral-type operators from spaces to Zygmund-type spaces on the unit ball.
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.