Arithmetic of Levitan's generalized characteristic functions

Some properties are stated for functions of the form, where is a distribution on the halfline [0,).Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 61, pp. 56–58, 1976.I thank Prof. I. V. Ostrovskii for suggesting this problem and for his support.