Orthorecursive Fourier-Stieltjes expansions (Q2446183)

Refering to his earlier papers from [Mosc. Univ. Math. Bull. 56, No. 1, 5--9 (2001); translation from Vestn. Mosk. Univ., Ser. I 2001, No. 1, 6--10 (2001; Zbl 1023.42014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 425, No. 6, 741--746 (2009; Zbl 1178.46023)], where the author defines orthorecursive Fourier-Stieltjes series, in the present paper he investigates two concrete examples, showing some of their elementary properties by well-known classical methods.