Titlebook: An Introduction to Finite Tight Frames; Shayne F. D. Waldron Textbook 2018 Springer Science+Business Media, LLC 2018 Heisenberg frames.MAT

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https://doi.org/10.1007/978-3-663-01687-8The maximal number of equiangular vectors (lines) in . is less than or equal to . (Theorem .). The corresponding bound of . for real equiangular lines in . is rarely attained (only for .).

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Frames,A finite (normalised) tight frame is a spanning set . for ., for which .

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Combining and decomposing frames,We now give a list of ways in which two or more frames can be combined to obtain a new frame, for which the frame and its dual are related in a natural way to those of its constituent parts.

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Variational characterisations of tight frames,If . is a finite tight frame for ., then (see Proposition .). .

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