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September 2007 Division problems for Fourier ultra-hyperfunctions
Michael Langenbruch
Bull. Belg. Math. Soc. Simon Stevin 14(3): 521-530 (September 2007). DOI: 10.36045/bbms/1190994214

Abstract

We characterize the surjective convolution operators $T_\mu$ on the space $(P_{**})'$ of Fourier ultra-hyperfunctions by means of a slowly decreasing condition for the Fourier transform $\widehat{\mu}$ and then study the existence of continuous linear right inverses for $T_\mu$.

Citation

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Michael Langenbruch. "Division problems for Fourier ultra-hyperfunctions." Bull. Belg. Math. Soc. Simon Stevin 14 (3) 521 - 530, September 2007. https://doi.org/10.36045/bbms/1190994214

Information

Published: September 2007
First available in Project Euclid: 28 September 2007

zbMATH: 1182.46034
MathSciNet: MR2387050
Digital Object Identifier: 10.36045/bbms/1190994214

Rights: Copyright © 2007 The Belgian Mathematical Society

Vol.14 • No. 3 • September 2007
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