TY - JOUR ID - 1598 TI - On the structure and properties of lower bounded analytic frames JO - Iranian Journal of Science JA - ISTT LA - en SN - 2731-8095 AU - Hosseini Giv, H. AU - Radjabalipour, M. AD - 1Center for Linear Algebra and Optimization, Shahid Bahonar University of Kerman, Kerman, Iran AD - Shahid Bahonar University of Kerman Y1 - 2013 PY - 2013 VL - 37 IS - 3 SP - 227 EP - 230 KW - Analysis operator KW - generalized frame KW - lower semi-frame KW - redundancy KW - discreteness KW - algebraic frames DO - 10.22099/ijsts.2013.1598 N2 - Algebraic frames are generalizations of Fourier transforms on locally compact abelian groups in the sense that the family of vectors forming the frame are replaced by a family of unbounded linear functionals. The paper studies the indexing measure space of the algebraic frames; as the investigation narrows down to the class of lower semiframes, more relations are revealed between the discreteness and the redundancy of the frame family. UR - https://ijsts.shirazu.ac.ir/article_1598.html L1 - https://ijsts.shirazu.ac.ir/article_1598_0e761b5aa271cf205b23077e8d388fe9.pdf ER -