The Parseval equality for multiple Fourier-Stieltjes series with respect to the Haar system
Authors:
E. D. Alferova
Affiliation:
(1) Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia
Abstract:
Let a function f : (Pi ^{ * ^m } ) → ? be Lebesgue integrable on (Pi ^{ * ^m } ) and Riemann-Stieltjes integrable with respect to a function G : (Pi ^{ * ^m } ) → ? on (Pi ^{ * ^m } ). Then the Parseval equality