A general RudinCarleson theorem
Author:
Errett Bishop
Journal:
Proc. Amer. Math. Soc. 13 (1962), 140143
MSC:
Primary 30.62
MathSciNet review:
0133462
Fulltext PDF Free Access
References 
Similar Articles 
Additional Information
 [1]
Errett
Bishop, The structure of certain measures, Duke Math. J.
25 (1958), 283–289. MR 0099441
(20 #5880)
 [2]
Errett
Bishop, Boundary measures of analytic differentials, Duke
Math. J. 27 (1960), 331–340. MR 0118852
(22 #9621)
 [3]
S.
Bochner, Boundary values of analytic functions in several variables
and of almost periodic functions, Ann. of Math. (2)
45 (1944), 708–722. MR 0011132
(6,124a)
 [4]
Lennart
Carleson, Representations of continuous functions, Math. Z.
66 (1957), 447–451. MR 0084035
(18,798a)
 [5]
Henry
Helson and David
Lowdenslager, Prediction theory and Fourier series in several
variables, Acta Math. 99 (1958), 165–202. MR 0097688
(20 #4155)
 [6]
Halsey Royden, The boundary values of analytic and harmonic functions, O.O.R. Technical Report no. 19, DA04200ORD704, Stanford University.
 [7]
Walter
Rudin, Boundary values of continuous analytic
functions, Proc. Amer. Math. Soc. 7 (1956), 808–811. MR 0081948
(18,472c), http://dx.doi.org/10.1090/S00029939195600819480
 [8]
Walter
Rudin, Analyticity, and the maximum modulus principle, Duke
Math. J. 20 (1953), 449–457. MR 0056076
(15,21g)
 [9]
John
Wermer, Subalgebras of the algebra of all complexvalued continuous
functions on the circle, Amer. J. Math. 78 (1956),
225–242. MR 0084729
(18,911c)
 [1]
 Errett Bishop, The structure of certain measures, Duke Math. J. vol. 25 (1958) pp. 283290. MR 0099441 (20:5880)
 [2]
 , Boundary measures of analytic differentials, Duke Math. J. vol. 27 (1960) pp. 331340. 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. 708722. MR 0011132 (6:124a)
 [4]
 Lennart Carleson, Representations of continuous functions, Math. Z. vol. 66 (1957) pp. 447451. MR 0084035 (18:798a)
 [5]
 Henry Helson and David Lowdenslager, Prediction theory and Fourier series in several variables, Acta Math. vol. 99 (1958) pp. 165202. MR 0097688 (20:4155)
 [6]
 Halsey Royden, The boundary values of analytic and harmonic functions, O.O.R. Technical Report no. 19, DA04200ORD704, Stanford University.
 [7]
 Walter Rudin, Boundary values of continuous analytic functions, Proc. Amer. Math. Soc. vol. 7 (1956) pp. 808811. MR 0081948 (18:472c)
 [8]
 , Analyticity and the maximum modulus principle, Duke Math. J. vol. 20 (1953) pp. 449458. MR 0056076 (15:21g)
 [9]
 John Wermer, Subalgebras of the algebra of all complexvalued continuous functions on the circle, Amer. J. Math. vol. 78 (1956) pp. 225242. MR 0084729 (18:911c)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939196201334624
PII:
S 00029939(1962)01334624
Article copyright:
© Copyright 1962
American Mathematical Society
