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thank you very much good afternoon everyone I would like to thank the organizers for inviting me its always a pleasure to come back and Im honored to speak at this event so for this talk this talk is in the general area of frame puri which as is known started with the study of non harmonic Fourier series and then became immensely immensely popular due to applications in signal processing so we will start by looking at equiangular sets of lines that is equus based loosely speaking equi spaced lines and we would consider a dependent set in which case we will refer to their massacree angular frames and then we will consider some generalizations in particular we instead of requiring the angles of the vectors to be equus based we will consider sets where the angles between any two disjoint vectors can take different values and then in the context of signal processing when we use these sets to represent signals then we have to also think about the dual set and we are interested in looking