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The algebra of polynomials on the space of ultradifferentiable functions

Volume 88 / 2010

Banach Center Publications 88 (2010), 133-143 MSC: Primary 46F25; Secondary 46F10, 44A10. DOI: 10.4064/bc88-0-10

Abstract

We consider the space ${\mathcal D}^{\mathcal M}$ of ultradifferentiable functions with compact supports and the space of polynomials on ${\mathcal D}^{\mathcal M}$. A description of the space ${\mathcal P}({\mathcal D}^{\mathcal M})$ of polynomial ultradistributions as a locally convex direct sum is given.

Authors

• Katarzyna GraselaInstitute of Mathematics
Cracow University of Technology
Warszawska 24
31-155 Kraków, Poland
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