Sentence examples for analytic extension from inspiring English sources

The function has an analytic extension to, and (3.34).

Hence, u has an entire analytic extension onto C n of exponential type.

Below we will have to integrate (widehat{f}_M s)) in a region contained in the left semiplane, so we need to investigate its analytic extension there.

end{aligned} (4.9)This provides the desired analytic extension and shows that (widehat{f}_M s)) may have simple poles at the non-positive integers.

In order to obtain c(n,m), the signal with complex-lag argument is calculated by using the concept of analytic extension as follows: (18).

In this article, we compare several algorithms for successfully extending a function f(x) into the "fog" even when the analytic extension is singular.

This allows us to get a solution of the radial boundary problem for the corresponding analytic extensions.

We study their properties with respect to monodromy, their analytic extensions and their boundary value on the imaginary axis.

These theorems have as aim to characterize functions with compact support through the properties of the analytic extensions of their classical Fourier transform on R d.

Integral formulas for analytic extensions to the open ball ({mathcal {Q}subset E'}) by means of a group generalization of the Paley-Wiener map associated with μ are established in Theorems 6.2 and 8.1.

We investigate the problem of analytic extensions on an open ball (mathcal{Q}subset E') and their radial boundary values in the Hardy spaces (mathcal{H}_{mu}^{p}) ((1le pleinfty)) using the Poisson integrals on the unitary group (U infty)) over H endowed with an invariant probability measure μ.