A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
On Interpolation to a Given Analytic Function By Analytic Functions of Minimum Norm

1955
*
Transactions of the American Mathematical Society
*

We shall consider here the following problem. Let the region Rx of the zplane contain the points 0u, and let the function f(z) be analytic in these points. To study the convergence to f(z) of the sequence of functions gn(z); here gn(z) is analytic throughout Rx, coincides with f(z) in the points 0nl, 0n2, • • • , 0nn, and among all functions with these two properties has the least norm in Rx. This problem has been previously studied [6; 7] where norm is [lub |g"(z)|, z in A\], and is now to be

doi:10.2307/1992843
fatcat:jj3kovfkabhbln73oxqe2nfbry