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Algebras of polynomials on locally convex spaces of ultradifferentiable functions and generalized derivation

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Mathematica Slovaca

Abstract

We consider the space

of ultradifferentiable functions with compact supports and the space of polynomials on

. Description of the polynomials algebra

as a locally convex direct sum is given. Derivation in

and automorphisms of this algebra are considered.

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Authors and Affiliations

  1. Institut of Mathematics, Cracow University of Technology, ul. Warszawska 24, PL-30-155, Kraków, Poland

    Katarzyna Grasela

Authors
  1. Katarzyna Grasela
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Correspondence to Katarzyna Grasela.

Additional information

Communicated by Michal Zajac

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Grasela, K. Algebras of polynomials on locally convex spaces of ultradifferentiable functions and generalized derivation. Math. Slovaca 60, 97–120 (2010). https://doi.org/10.2478/s12175-009-0170-z

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  • DOI: https://doi.org/10.2478/s12175-009-0170-z

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