%0 Journal Article %A V. A. Il'in %T A negative solution to the problem of the convergence in the $L_p^\alpha$ metric ($p\ne2$) of the spectral decomposition of a function in $L_p^\alpha$ with compact support %J Doklady Akademii Nauk %D 1972 %P 1286-1288 %V 205 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/DAN_1972_205_6_a5/ %G ru %F DAN_1972_205_6_a5