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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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Symmetries of tight frames,The angle preserving transformations of . form the ..which can be thought of as the symmetries of the inner product space ..
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Equiangular and Grassmannian frames,A set of . unit vectors . in . is said to define a set of . if the angles between the subspaces (lines) they determine are equal, i.e., . with .
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,Weyl–Heisenberg SICs,The 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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Tight frames of orthogonal polynomials on the simplex,The orthogonal polynomials of degree . on the triangle are a finite dimensional inner product space which is invariant under the unitary action of the symmetry group . of the triangle (the dihedral group of order 6) given by .i.e., a .-invariant space (see §10.10).
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Continuous tight frames for finite dimensional spaces,The tight frame expansion for . equally spaced unit vectors in . is .
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