dc.contributor.author | Oztop, Serap | |
dc.contributor.author | Samei, Ebrahim | |
dc.date.accessioned | 2021-03-04T14:06:45Z | |
dc.date.available | 2021-03-04T14:06:45Z | |
dc.identifier.citation | Oztop S., Samei E., "Twisted Orlicz algebras, I", STUDIA MATHEMATICA, cilt.236, ss.271-296, 2017 | |
dc.identifier.issn | 0039-3223 | |
dc.identifier.other | av_7fd52ab3-e183-411d-ad59-1443a48f5f12 | |
dc.identifier.other | vv_1032021 | |
dc.identifier.uri | http://hdl.handle.net/20.500.12627/87225 | |
dc.identifier.uri | https://doi.org/10.4064/sm8562-9-2016 | |
dc.description.abstract | Let G be a locally compact group, let Omega : G x G -> C* be a 2-cocycle, and let Phi be a Young function. In this paper, we consider the Orlicz space L-Phi (G) and investigate its algebraic properties under the twisted convolution circle star coming from Omega. We find sufficient conditions under which (L-Phi (G), circle star) becomes a Banach algebra or a Banach *-algebra; we then call it a twisted Orlicz algebra. Furthermore, we study its harmonic analysis properties, such as symmetry, existence of functional calculus, regularity, and the Wiener property, mostly when G is a compactly generated group of polynomial growth. We apply our methods to several important classes of polynomial as well as subexponential weights, and demonstrate that our results could be applied to a variety of cases. | |
dc.language.iso | eng | |
dc.subject | Temel Bilimler (SCI) | |
dc.subject | Matematik | |
dc.title | Twisted Orlicz algebras, I | |
dc.type | Makale | |
dc.relation.journal | STUDIA MATHEMATICA | |
dc.contributor.department | University Of Saskatchewan , , | |
dc.identifier.volume | 236 | |
dc.identifier.startpage | 271 | |
dc.identifier.endpage | 296 | |
dc.contributor.firstauthorID | 1197026 | |