Fourier–Laplace transformation of functionals on a weighted space of infinitely smooth functions

I. Kh. Musin

Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1477-1506

Résumé

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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