References
Bochner, S.: A theorem on Fourier-Stieltjes integrals. Bull. Amer. Math. Soc.40, 271–276 (1934).
—: Boundary values of analytic functions in several variables and of almost periodic functions. Ann. Math.45, 708–722 (1944).
— Function rings and analytic measures. J. Math. Pures et Appliquées42, 209–221 (1963).
Eberlein, W. F.: Characterizations of Fourier-Stieltjes transforms. Duke Math. J.22, 465–468 (1955).
Helson, H., andD. Lowdenslager: Prediction theory and Fourier series in several variables. Acta Math.99, 165–202 (1958).
de Leeuw, K., andI. Glicksberg: Quasi-invariance and analyticity of measures on compact groups. Acta Math.109, 179–205 (1963).
Rudin, W.: Fourier analysis on groups. New York: Interscience Publ. 1962.
Ryan, R.: Fourier transforms of certain classes of integrable functions. Trans. Amer. Math. Soc.105, 102–111 (1962).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Doss, R. On the Fourier-Stieltjes transforms of singular or absolutely continuous measures. Math Z 97, 77–84 (1967). https://doi.org/10.1007/BF01111125
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01111125