ON THE LOCALIZATION AND CONVERGENCE OF MULTIPLE FOURIER INTEGRAL BY BOCHNER-RIESZ MEANS

In this paper we consider lim _(R-) B_R~(f,x_0), in one case that f_x_0 (t) is a ABMV function on 0, ∞], andin another case that f∈L_(m-1)~1(R~) and x~k/~kf∈BV(R) when |k| = m-1 and f(x) = 0 when |x-x_0|<δ for some δ>0. Our theormes improve the results of Pan Wenjie (1]).