Scientific Research Publishing

The Theory of Vector-Valued Function in Locally Convex Space ()

In this paper, the vector-valued regular functions are extended to the locally convex space. The residues theory of the functions in the locally convex space is achieved. Thereby the Cauchy theory and ...
Scientific Research Publishing

M. A. Robdera, “Unified Approach to Vector Valued Integration,” International Journal of Functional Analysis, Operator Theory and Application, Vol. 5, No. 2, 2013, pp. 119-139.

ABSTRACT: The Lebesgue-Nikodym Theorem states that for a Lebesgue measure an additive set function which is -absolutely continuous is the integral of a Lebegsue integrable a measurable function ; that ...
IEEE

Vector Green's function for S-parameter measurements of the electromagnetic volume integral equation

Abstract: We present a variation of the electric-field volume integral equation (VIE) for inhomogeneous media that is tailored for microwave S-parameter measurements. The kernel of the standard VIE is ...
GitHub

ENH: interpolate: regular grid linear interpolation for a vector-valued function

Suppose I have a vector-valued function f(x) = y, where x and y are both vectors of some length (same or different length). f could be evaluated over a regular grid of x values, producing a set of y ...