DSpace Repository

Quaternion fourier integral operators for spaces of generalized quaternions

Show simple item record

dc.contributor.author Al-Omari, Shrideh Khalaf Qasem
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-03-18T13:48:31Z
dc.date.available 2020-03-18T13:48:31Z
dc.date.issued 2018-12
dc.identifier.citation Al-Omari, Shrideh K. Q.; Baleanu, D., "Quaternion fourier integral operators for spaces of generalized quaternions", Mathematical Methods in the Applied Sciences, Vol. 41, No. 18, pp. 9477, 9484, (2018). tr_TR
dc.identifier.issn 0170-4214
dc.identifier.uri http://hdl.handle.net/20.500.12416/2675
dc.description.abstract This article aims to discuss a class of quaternion Fourier integral operators on certain set of generalized functions, leading to a method of discussing various integral operators on various spaces of generalized functions. By employing a quaternion Fourier integral operator on points closed to the origin, we introduce convolutions and approximating identities associated with the Fourier convolution product and derive classical and generalized convolution theorems. Working on such identities, we establish quaternion and ultraquaternion spaces of generalized functions, known as Boehmians, which are more general than those existed on literature. Further, we obtain some characteristics of the quaternion Fourier integral in a quaternion sense. Moreover, we derive continuous embeddings between the classical and generalized quaternion spaces and discuss some inversion formula as well. tr_TR
dc.language.iso eng tr_TR
dc.publisher Wiley tr_TR
dc.relation.isversionof 10.1002/mma.5304 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Boehmian Space tr_TR
dc.subject Generalized Quaterion Space tr_TR
dc.subject Quaternion tr_TR
dc.subject Quaternion Fourier tr_TR
dc.title Quaternion fourier integral operators for spaces of generalized quaternions tr_TR
dc.type article tr_TR
dc.relation.journal Mathematical Methods in the Applied Sciences tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 41 tr_TR
dc.identifier.issue 18 tr_TR
dc.identifier.startpage 9477 tr_TR
dc.identifier.endpage 9484 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record