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Title

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

Authors 1

Affiliations

  1. Universität Wuppertal, FB 7 - Mathematik Gaussstr. 20, D-42097 Wuppertal, Germany

Abstract

We determine the convolution operators Tμ:=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).

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Studia Mathematica
1994/110/1
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Pages:
65-82
Main language of publication
English
Received
1993-07-20
Accepted
1993-12-21
Published
1994
Exact and natural sciences