Approximation by quotients of rational inner functions
HTML articles powered by AMS MathViewer
- by John N. McDonald PDF
- Proc. Amer. Math. Soc. 74 (1979), 299-300 Request permission
Abstract:
Let u be a continuous unimodular function on the n-dimensional torus ${T^n}$. It is shown that u can be uniformly approximated by quotients of rational inner functions.References
- R. G. Douglas and Walter Rudin, Approximation by inner functions, Pacific J. Math. 31 (1969), 313–320. MR 254606
- Theodore W. Gamelin, Uniform algebras, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1969. MR 0410387
- Walter Rudin, Function theory in polydiscs, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0255841
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 74 (1979), 299-300
- MSC: Primary 41A20; Secondary 30E10
- DOI: https://doi.org/10.1090/S0002-9939-1979-0524304-6
- MathSciNet review: 524304