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An algebraic approach to tempered ultradistributions

Smiljana Jakšić,Snježana Maksimović,Stevan Pilipović

Journal of Mathematical Analysis and Applications（2018）

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Abstract
We construct the space of pseudo-quotients that is shown to be isomorphic to the spaces of Beurling tempered ultradistributions.
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Key words
Pseudo-quotients,Ultradifferentiable functions of ultrapolynomial growth,Beurling tempered ultradistributions,Ultradifferential operators
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