Geodesic
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
Doklady Akademii Nauk, Tome 205 (1972) no. 6, pp. 1286-1288.

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     author = {V. A. Il'in},
     title = {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},
     journal = {Doklady Akademii Nauk},
     pages = {1286--1288},
     publisher = {mathdoc},
     volume = {205},
     number = {6},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DAN_1972_205_6_a5/}
}
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V. A. Il'in. 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. Doklady Akademii Nauk, Tome 205 (1972) no. 6, pp. 1286-1288. http://geodesic.mathdoc.fr/item/DAN_1972_205_6_a5/