Geodesic
Weighted approximation for trigonometric sums and the Carleman--Krylov--Golusin formula
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 21, Tome 206 (1993), pp. 5-14

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An explicit formula is given yielding linear combinations of harmonics with negative frequencies approximating a prescribed harmonic with a positive frequency in a weighted space $L^2(h)$. The formula is based on the interpolation Carleman–Krylov–Golusin formula. Bibliography: 11 titles. 
@article{ZNSL_1993_206_a0,
     author = {V. A. Bart and V. P. Havin},
     title = {Weighted approximation for trigonometric sums and the {Carleman--Krylov--Golusin} formula},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--14},
     publisher = {mathdoc},
     volume = {206},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1993_206_a0/}
}
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V. A. Bart; V. P. Havin. Weighted approximation for trigonometric sums and the Carleman--Krylov--Golusin formula. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 21, Tome 206 (1993), pp. 5-14. http://geodesic.mathdoc.fr/item/ZNSL_1993_206_a0/