The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Polynomial ultradistributions: differentiation and Laplace transformation

O. Łopuszański

Banach Center Publications (2010)

  • Volume: 88, Issue: 1, page 195-209
  • ISSN: 0137-6934

Abstract

top
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.

How to cite

top

O. Łopuszański. "Polynomial ultradistributions: differentiation and Laplace transformation." Banach Center Publications 88.1 (2010): 195-209. <http://eudml.org/doc/282213>.

@article{O2010,
abstract = {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.},
author = {O. Łopuszański},
journal = {Banach Center Publications},
keywords = {ultradistributions on infinite-dimensional spaces; Laplace transform in ultradistribution spaces; spaces of polynomials},
language = {eng},
number = {1},
pages = {195-209},
title = {Polynomial ultradistributions: differentiation and Laplace transformation},
url = {http://eudml.org/doc/282213},
volume = {88},
year = {2010},
}

TY - JOUR
AU - O. Łopuszański
TI - Polynomial ultradistributions: differentiation and Laplace transformation
JO - Banach Center Publications
PY - 2010
VL - 88
IS - 1
SP - 195
EP - 209
AB - 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.
LA - eng
KW - ultradistributions on infinite-dimensional spaces; Laplace transform in ultradistribution spaces; spaces of polynomials
UR - http://eudml.org/doc/282213
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.