Geodesic
Fourier--Laplace transformation of functionals on a~weighted space of infinitely smooth functions
Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1477-1506

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The dual to a weighted space $G$ of infinitely smooth functions on the real axis is described by means of the Fourier–Laplace transformation. This result is used in the study of the surjectivity in $G$ of an infinite-order linear differential operator with constant coefficients. 
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     author = {I. Kh. Musin},
     title = {Fourier--Laplace transformation of functionals on a~weighted space of infinitely smooth functions},
     journal = {Sbornik. Mathematics},
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     volume = {191},
     number = {10},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2000_191_10_a4/}
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I. Kh. Musin. Fourier--Laplace transformation of functionals on a~weighted space of infinitely smooth functions. Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1477-1506. http://geodesic.mathdoc.fr/item/SM_2000_191_10_a4/