Integration and the Feynman-Kac formula
Integration of vector-valued functions with respect to an operator-valued measure
Integration Operators on Bergman Spaces with exponential weight.
Integration with respect to the canonical spectral measure in sequence spaces.
Integro-differential equations on time scales with Henstock-Kurzweil delta integrals
In this paper we prove existence theorems for integro - differential equations , t ∈ Iₐ = [0,a] ∩ T, a ∈ R₊, x(0) = x₀ where T denotes a time scale (nonempty closed subset of real numbers R), Iₐ is a time scale interval. Functions f,k are Carathéodory functions with values in a Banach space E and the integral is taken in the sense of Henstock-Kurzweil delta integral, which generalizes the Henstock-Kurzweil integral. Additionally, functions f and k satisfy some boundary conditions and conditions...
Integro-differential equations with time-varying delay
Integro-differential equations with time-varying delay can provide us with realistic models of many real world phenomena. Delayed Lotka-Volterra predator-prey systems arise in ecology. We investigate the numerical solution of a system of two integro-differential equations with time-varying delay and the given initial function. We will present an approach based on -step methods using quadrature formulas.
Interaction of Periodic and Stationary Bifurcation from Multiple Eigenvalues.
Interchangeability of unbounded linear operators: General theory of transmutativity
Interchangeability of unbounded operators: special criteria of transmutativity
Interior compact subspaces and differentiation in model subspaces.
Interior proximal method for variational inequalities on non-polyhedral sets
Interior proximal methods for variational inequalities are, in fact, designed to handle problems on polyhedral convex sets or balls, only. Using a slightly modified concept of Bregman functions, we suggest an interior proximal method for solving variational inequalities (with maximal monotone operators) on convex, in general non-polyhedral sets, including in particular the case in which the set is described by a system of linear as well as strictly convex constraints. The convergence analysis of...
Internal Lifshitz tails for discrete Schrödinger operators.
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 and extension of Lipschitz-Hölder maps on spaces
Interpolation by elementary operators
Given two n-tuples and of bounded linear operators on a Hilbert space the question of when there exists an elementary operator E such that for all j =1,...,n, is studied. The analogous question for left multiplications (instead of elementary operators) is answered in any C*-algebra A, as a consequence of the characterization of closed left A-submodules in .
Interpolation by multipliers on certain spaces of analytic functions.
Interpolation for (positive) C0-semigroups on Lp-spaces.
Interpolation functions of several matrix variables.
Interpolation in with boundary conditions
Interpolation linéaire associée à un générateur de semi-groupe intégré