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

Authors
Musin, IK
Citation
Ik. Musin, Fourier-Laplace transformation of functionals on a weighted space of infinitely smooth functions, SB MATH, 191(9-10), 2000, pp. 1477-1506
Citations number
20
Categorie Soggetti
Mathematics
Journal title
SBORNIK MATHEMATICS
ISSN journal
10645616 → ACNP
Volume
191
Issue
9-10
Year of publication
2000
Pages
1477 - 1506
Database
ISI
SICI code
1064-5616(200009/10)191:9-10<1477:FTOFOA>2.0.ZU;2-
Abstract
The dual to a weighted space G of infinitely smooth functions on the real a xis is described by means of the Fourier-Laplace transformation. This resul t is used in the study of the surjectivity in G of an infinite-order linear differential operator with constant coefficients.