Polynomial ultradistributions: differentiation and Laplace transformation

• Autorzy: O. Łopuszański
• Języki publikacji: EN

Abstrakty

EN

We consider the multiplicative algebra P(𝒢₊') of continuous scalar polynomials on the space 𝒢₊' of Roumieu ultradistributions on [0,∞) as well as its strong dual P'(𝒢₊'). The algebra P(𝒢₊') is densely embedded into P'(𝒢₊') and the operation of multiplication possesses a unique extension to P'(𝒢₊'), that is, P'(𝒢₊') is also an algebra. The operation of differentiation on these algebras is investigated. The polynomially extended Laplace transformation and its connections with the differentiation are also studied.

Kategorie tematyczne

• 46G25: (Spaces of) multilinear mappings, polynomials
• 46F12: Integral transforms in distribution spaces
• 46F25: Distributions on infinite-dimensional spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 88
• Numer: 1
• Strony: 195-209

Daty

wydano

2010

Twórcy

autor

O. Łopuszański

• Institute of Mathematics, University of Rzeszów, Rejtana 16A, 35-310 Rzeszów, Poland

Identyfikatory

DOI

10.4064/bc88-0-16