Continuous linear right inverses for convolution operators in spaces of real analytic functions

Langenbruch, Michael

Studia Mathematica, Tome 108 (1994), p. 65-82 / Harvested from The Polish Digital Mathematics Library

Résumé

We determine the convolution operators $T_{μ} : = μ *$ on the real analytic functions in one variable which admit a continuous linear right inverse. The characterization is given by means of a slowly decreasing condition of Ehrenpreis type and a restriction of hyperbolic type on the location of zeros of the Fourier transform μ̂(z).

Publié le : 1994-01-01

Zbl 0824.35147

EUDML-ID : urn:eudml:doc:216099

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     author = {Michael Langenbruch},
     title = {Continuous linear right inverses for convolution operators in spaces of real analytic functions},
     journal = {Studia Mathematica},
     volume = {108},
     year = {1994},
     pages = {65-82},
     zbl = {0824.35147},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv110i1p65bwm}
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Langenbruch, Michael. Continuous linear right inverses for convolution operators in spaces of real analytic functions. Studia Mathematica, Tome 108 (1994) pp. 65-82. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv110i1p65bwm/

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