Some extensions of a certain integral transform to a quotient space of generalized functions

Shrideh K.Q. Al-Omari; Jafar F. Al-Omari

Open Mathematics (2015)

  • Volume: 13, Issue: 1
  • ISSN: 2391-5455

Abstract

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In this paper, we establish certain spaces of generalized functions for a class of ɛs2,1 transforms. We give the definition and derive certain properties of the extended ɛs2,1 transform in a context of Boehmian spaces. The extended ɛs2,1 transform is therefore well defined, linear and consistent with the classical ɛs2,1 transforms. Certain results are also established in some detail.

How to cite

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Shrideh K.Q. Al-Omari, and Jafar F. Al-Omari. "Some extensions of a certain integral transform to a quotient space of generalized functions." Open Mathematics 13.1 (2015): null. <http://eudml.org/doc/275968>.

@article{ShridehK2015,
abstract = {In this paper, we establish certain spaces of generalized functions for a class of ɛs2,1 transforms. We give the definition and derive certain properties of the extended ɛs2,1 transform in a context of Boehmian spaces. The extended ɛs2,1 transform is therefore well defined, linear and consistent with the classical ɛs2,1 transforms. Certain results are also established in some detail.},
author = {Shrideh K.Q. Al-Omari, Jafar F. Al-Omari},
journal = {Open Mathematics},
keywords = {ɛs2,1 transform; Generalized function; Lebesgue space; Boehmian space},
language = {eng},
number = {1},
pages = {null},
title = {Some extensions of a certain integral transform to a quotient space of generalized functions},
url = {http://eudml.org/doc/275968},
volume = {13},
year = {2015},
}

TY - JOUR
AU - Shrideh K.Q. Al-Omari
AU - Jafar F. Al-Omari
TI - Some extensions of a certain integral transform to a quotient space of generalized functions
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - null
AB - In this paper, we establish certain spaces of generalized functions for a class of ɛs2,1 transforms. We give the definition and derive certain properties of the extended ɛs2,1 transform in a context of Boehmian spaces. The extended ɛs2,1 transform is therefore well defined, linear and consistent with the classical ɛs2,1 transforms. Certain results are also established in some detail.
LA - eng
KW - ɛs2,1 transform; Generalized function; Lebesgue space; Boehmian space
UR - http://eudml.org/doc/275968
ER -

References

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