An integral representation for strictly continuous linear operators

Generalized Continuous Frames for Operators

In this note, the notion of generalized continuous K- frame in a Hilbert space is defined. Examples have been given to exhibit the existence of generalized continuous $K$-frames. A necessary and sufficient condition for the existence of a generalized continuous $K$-frame in terms of its frame operator is obtained and a characterization of a generalized continuous $K$-frame for $ mathcal{H} $ wi...

A Z/-integral Representation for the Continuous Linear Operators on Spaces of Continuously Differentiable Vector-valued Functions

Suppose X and Y are linear normed spaces, and Ci is the space of continuously differentiable functions from [0, 1 ] into X. The authors give a represention theorem for the linear operators from Ci into Y in terms of the n-integral operating on the function as opposed to the derivative of the function.

An integral equation representation for overlapping generations in continuous time

This paper develops a method for solving for the dynamic general equilibrium of a deterministic continuous time overlapping generations model with a finite-horizon life-cycle. The model has isoelastic preferences and allows for general assumptions about individual endowments and demographics. Solving for an equilibrium reduces to solving a nonlinear integral equation. In the special case of log...

Integral Representation of Linear Continuous Operators from the Space of Lebesgue-bochner Summable Functions into Any Banach Space.

Sparse Shearlet Representation of Fourier Integral Operators

Fourier Integral Operators appear naturally in a variety of problems related to hyperbolic partial differential equations. While wavelets and other traditional time-frequency methods have been successfully employed for representing many classes of singular integral operators, these methods are not equally effective in dealing with Fourier Integral Operators. In this paper, we show that the shea...