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On the structure and properties of lower bounded analytic frames | ||
| Iranian Journal of Science | ||
| مقاله 4، دوره 37، شماره 3، آبان 2013، صفحه 227-230 اصل مقاله (143.19 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2013.1598 | ||
| نویسندگان | ||
| H. Hosseini Giv1؛ M. Radjabalipour* 2 | ||
| 11Center for Linear Algebra and Optimization, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| 2Shahid Bahonar University of Kerman | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Analysis operator؛ generalized frame؛ lower semi-frame؛ redundancy؛ discreteness؛ algebraic frames | ||
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