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Bibliography

1
N. Asmar and S. Montgomery-Smith, Hahn's embedding theorem for orders and harmonic analysis on groups with ordered duals, Colloq. Math. 70 (1996), 235-252.

2
N. Asmar and S. Montgomery-Smith, Analytic measures and Bochner measurability, Bull. Sci. Math. 122 (1998), 39-66.

3
N. Asmar and S. Montgomery-Smith, Hardy martingales and Jensen's Inequality, Bull. Austral. Math. Soc. 55 (1997), 185-195.

4
N. Asmar, S. Montgomery-Smith, and S. Saeki, Transference in spaces of measures, J. Functional Analysis, 165 (1999), 1-23.

5
C. Bessaga and A. Pe\lczynski, On bases and unconditional convergence of series in Banach spaces, Studia Math. 17 (1958), 151-164.

6
S. Bochner, Boundary values of analytic functions in several variables and almost periodic functions, Ann. of Math., 45 (1944), 708-722.

7
D. L. Burkholder, A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional, Ann. Math. Statist., 37 (1966), 1494-1504.

8
D. L. Burkholder, Martingale transforms, The Annals of Probability, 9 (1981), 997-1011.

9
K. De Leeuw and I. Glicksberg, Quasi-invariance and measures on compact groups, Acta Math., 109 (1963), 179-205.

10
J. L. Doob, ``Stochastic Processes'', Wiley Publications in Statistics, New York 1953.

11
R. E. Edwards, and G. I. Gaudry, ``Littlewood-Paley and Multiplier Theory'', Ergebnisse der Mathematik und ihrer Grenzgebiete, Springer-Verlag, No. 90, Berlin, 1977.

12
F. Forelli, Analytic and quasi-invariant measures, Acta Math., 118 (1967), 33-59.

13
L. Fuchs, `` Partially ordered algebraic systems'', Pergamon Press, Oxford, New York, 1960.

14
D. J. H. Garling, On martingales with values in a complex Banach space, Math. Proc. Camb. Phil. Soc. 104 (1988), 399-406.

15
D. J. H. Garling, Hardy martingales and the unconditional convergence of martingales, Bull. London Math. Soc. 23 (1991), 190-192.

16
H. Helson and D. Lowdenslager, Prediction theory and Fourier series in several variables, Acta Math. 99 (1958), 165-202.

17
H. Helson and D. Lowdenslager, Prediction theory and Fourier series in several variables II, Acta Math. 106 (1961), 175-212.

18
E. Hewitt and S. Koshi, Orderings in locally compact Abelian groups and the theorem of F. and M. Riesz, Math. Proc. Camb. Phil. Soc. 93 (1983), 441-457.

19
E. Hewitt, S. Koshi, and Y. Takahashi, The F. and M. Riesz Theorem revisited, Math. Scandinav., 60 (1987), 63-76.

20
E. Hewitt and K. A. Ross, ``Abstract Harmonic Analysis I,'' $ 2^{nd}$ Edition, Grundlehren der Math. Wissenschaften, Band 115, Springer-Verlag, Berlin 1979.

21
E. Hewitt and K. A. Ross, ``Abstract Harmonic Analysis II,'' Grundlehren der Math. Wissenschaften in Einzeldarstellungen, Band 152, Springer-Verlag, New York, 1970.

22
W. Rudin, ``Fourier Analysis on Groups,'' Interscience Tracts in Pure and Applied Mathematics, No. 12, John Wiely, New York, 1962.

23
H. Yamaguchi, A property of some Fourier-Stieltjes transforms, Pac. J. Math. 108 (1983), 243-256.



Stephen Montgomery-Smith 2002-10-30