Recent developments on the F. and M. Riesz theorem

• Autorzy: Shozo Koshi
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1995
• Tom: 31
• Numer: 1
• Strony: 227-231

Daty

wydano

1995

Twórcy

autor

Shozo Koshi

• Department of Mathematics, Faculty of Sciences, Hokkaido University, Sapporo 060, Japan

Bibliografia

• [1] K. de Leeuw and I. Glicksberg, Quasi-invariance and analyticity of measures on compact groups, Acta Math. 109 (1963), 179-205.
• [2] R. Doss, On measures with small transforms, Pacific J. Math. 26 (1968), 258-263.
• [3] I. Glicksberg, The strong conclusion of the F. and M. Riesz theorem on groups, Trans. Amer. Math. Soc. 285 (1984), 235-240.
• [4] H. Helson and D. Lowdenslager, Prediction theory and Fourier series in several variables, Acta Math. 99 (1958), 165-202.
• [5] E. Hewitt and S. Koshi, Orderings in locally compact Abelian groups and the theorem of F. and M. Riesz, Math. Proc. Cambridge Philos. Soc. 94 (1983), 441-457.
• [6] E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, I, Grundlehren Math. Wiss. 115, Springer, Berlin, 1963.
• [7] E. Hewitt, S. Koshi and Y. Takahashi, The F. and M. Riesz theorem revisited, Math. Scand. 60 (1987), 63-76.
• [8] Y. Kanjin, A convolution measure algebra on the unit disc, Tôhoku Math. J. 28 (1976), 105-115.
• [9] S. Koshi and Y. Takahashi, Generating subsemigroups, orders and a theorem of Glicksberg, Hokkaido Math. J. 16 (1987), 135-144.
• [10] S. Koshi and H. Yamaguchi, The F. and M. Riesz theorem and group structures, ibid. 8 (1979), 294-299.
• [11] F. Riesz und M. Riesz, Über die Randwerte einer analytischen Funktion, in: Comptes Rendus du 4. Congrès des mathématiciens scandinaves, Stockholm, 1916, 27-44.
• [12] W. Rudin, Fourier Analysis on Groups, Wiley, New York, 1962.
• [13] Y. Takahashi and H. Yamaguchi, On measures which are continuous by certain translation, Hokkaido Math. J. 13 (1984), 109-117.
• [14] H. Yamaguchi, Remarks on Riesz sets, ibid. 7 (1978), 328-335.
• [15] H. Yamaguchi, A property of some Fourier Stieltjes transform, Pacific J. Math. 108 (1983), 243-256.