In this paper, an attempt is being made to discuss a class of modified Bessel- type integrals on a set of generalized functions known as Boehmians. We show that the modified Bessel-type integral, with appropriately defined convolution products, obeys a fundamental convolution theorem which consequently justifis pursuing analysis in the Boehmian spaces. We describe two Fréchet spaces of Boehmians and extend the modifid Bessel-type integral between the diferent spaces. Furthermore, a convolution theorem and a class of basic properties of the extended integral such as linearity, continuity and compatibility with the classical integral, which provide a convenient extention to the classical results, have been derived
@article{37463,
title = {A study on a class of modified Bessel-type integrals in a Fr\'echet space of Boehmians},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {38},
year = {2019},
doi = {10.5269/bspm.v38i4.37463},
language = {EN},
url = {http://dml.mathdoc.fr/item/37463}
}
Al-Omari, Shrideh Khalaf. A study on a class of modified Bessel-type integrals in a Fréchet space of Boehmians. Boletim da Sociedade Paranaense de Matemática, Tome 38 (2019) . doi : 10.5269/bspm.v38i4.37463. http://gdmltest.u-ga.fr/item/37463/