A general Rudin-Carleson theorem

Author:
Errett Bishop

Journal:
Proc. Amer. Math. Soc. **13** (1962), 140-143

MSC:
Primary 30.62

DOI:
https://doi.org/10.1090/S0002-9939-1962-0133462-4

MathSciNet review:
0133462

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References | Similar Articles | Additional Information

**[1]**Errett Bishop,*The structure of certain measures*, Duke Math. J. vol. 25 (1958) pp. 283-290. MR**0099441 (20:5880)****[2]**-,*Boundary measures of analytic differentials*, Duke Math. J. vol. 27 (1960) pp. 331-340. MR**0118852 (22:9621)****[3]**Salomon Bochner,*Boundary values of analytic functions in several variables and of almost periodic functions*, Ann. of Math. vol. 45 (1944) pp. 708-722. MR**0011132 (6:124a)****[4]**Lennart Carleson,*Representations of continuous functions*, Math. Z. vol. 66 (1957) pp. 447-451. MR**0084035 (18:798a)****[5]**Henry Helson and David Lowdenslager,*Prediction theory and Fourier series in several variables*, Acta Math. vol. 99 (1958) pp. 165-202. MR**0097688 (20:4155)****[6]**Halsey Royden,*The boundary values of analytic and harmonic functions*, O.O.R. Technical Report no. 19, DA-04-200-ORD-704, Stanford University.**[7]**Walter Rudin,*Boundary values of continuous analytic functions*, Proc. Amer. Math. Soc. vol. 7 (1956) pp. 808-811. MR**0081948 (18:472c)****[8]**-,*Analyticity and the maximum modulus principle*, Duke Math. J. vol. 20 (1953) pp. 449-458. MR**0056076 (15:21g)****[9]**John Wermer,*Subalgebras of the algebra of all complex-valued continuous functions on the circle*, Amer. J. Math. vol. 78 (1956) pp. 225-242. MR**0084729 (18:911c)**

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DOI:
https://doi.org/10.1090/S0002-9939-1962-0133462-4

Article copyright:
© Copyright 1962
American Mathematical Society