Probability Measures on the Group of Walsh Functions With Trivial Equivalence Class
We establish necessary and sufficient conditions for the retrieval, to within a shift, of a composition of three Poisson distributions and a uniform distribution on five or six elements of the group of Walsh functions according to the absolute values of their characteristic functions.
English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 5, pp 793-798.
Citation Example: Il’inskaya I. P., Neguritsa D. S. Probability Measures on the Group of Walsh Functions With Trivial Equivalence Class // Ukr. Mat. Zh. - 2013. - 65, № 5. - pp. 717–721.