Springer Iranian Journal of Science 2731-8095 37 3 2013 08 12 On the structure and properties of lower bounded analytic frames 227 230 1598 10.22099/ijsts.2013.1598 EN H. Hosseini Giv 1Center for Linear Algebra and Optimization, Shahid Bahonar University of Kerman, Kerman, Iran M. Radjabalipour Shahid Bahonar University of Kerman Journal Article 2012 03 27 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. https://ijsts.shirazu.ac.ir/article_1598_0e761b5aa271cf205b23077e8d388fe9.pdf