Geodesic
On an integral representation of functions
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part V, Tome 47 (1974), pp. 67-72

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An identity is proved for functions from $L_p(E^n)$, $1\leq p\infty$ which represents by itself a certain analogy to the Fourier integral formula. 
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     author = {V. P. Il'in},
     title = {On an integral representation of functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {67--72},
     publisher = {mathdoc},
     volume = {47},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1974_47_a3/}
}
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V. P. Il'in. On an integral representation of functions. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part V, Tome 47 (1974), pp. 67-72. http://geodesic.mathdoc.fr/item/ZNSL_1974_47_a3/