Download or read book Approximation by Bounded Analytic Functions to Functions Represented by Dirichlet Series written by J. P. Evans and published by . This book was released on 1961 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results concerning approximation to functions analytic on a closed point set R̄0 by arbitrary functions analytic and bounded in a region R1 containing R̄0 were first established by Walsh [4] in 1938 and later extended by the present writers to the limiting case where R̄0 and the boundary of R1 have points in common [5]. It is the purpose of the present note to continue the study of this problem now in situations where the approximated function is no longer assumed analytic at points common to the boundaries of R0 and R1.