AbstractFrames that arise from the action of an Abelian group of unitary operators are called harmonic or geometrically uniform frames and have many nice properties. We present some characterization and structure theorems regarding these frames. In particular, we are motivated by (1) the theory of filter banks, and (2) orthogonality of pairs of such frames
AbstractTwo Bessel sequences are orthogonal if the composition of the synthesis operator of one sequ...
A group-like unitary system U is a set of unitary operators such that the group generated by the sys...
A group-like unitary system U is a set of unitary operators such that the group generated by the sys...
AbstractFrames that arise from the action of an Abelian group of unitary operators are called harmon...
AbstractUp to unitary equivalence, there are a finite number of tight frames of n vectors for Cd whi...
A tight frame is a sequence in a separable Hilbert space satisfying the frame inequality with equal ...
10.1016/j.acha.2005.09.005Applied and Computational Harmonic Analysis202283-297ACOH
AbstractUp to unitary equivalence, there are a finite number of tight frames of n vectors for Cd whi...
Abstract. We consider frames arising from the action of a unitary represen-tation of a discrete coun...
Let H be a Hilbert space of finite dimension d, such as the finite signals Cd or a space of multivar...
AbstractWe analyze Parseval frames generated by the action of an ICC group on a Hilbert space. We pa...
Matrix representations of bounded Hilbert space operators are considered. The matrices in question a...
A frame vector (or generator) for a group representation π of a countable or finite group G on a Hil...
AbstractThere are a finite number of inequivalent isometric frames (equal-norm tight frames) of n ve...
Abstract. A group-like unitary system U is a set of unitary operators such that the group generated ...
AbstractTwo Bessel sequences are orthogonal if the composition of the synthesis operator of one sequ...
A group-like unitary system U is a set of unitary operators such that the group generated by the sys...
A group-like unitary system U is a set of unitary operators such that the group generated by the sys...
AbstractFrames that arise from the action of an Abelian group of unitary operators are called harmon...
AbstractUp to unitary equivalence, there are a finite number of tight frames of n vectors for Cd whi...
A tight frame is a sequence in a separable Hilbert space satisfying the frame inequality with equal ...
10.1016/j.acha.2005.09.005Applied and Computational Harmonic Analysis202283-297ACOH
AbstractUp to unitary equivalence, there are a finite number of tight frames of n vectors for Cd whi...
Abstract. We consider frames arising from the action of a unitary represen-tation of a discrete coun...
Let H be a Hilbert space of finite dimension d, such as the finite signals Cd or a space of multivar...
AbstractWe analyze Parseval frames generated by the action of an ICC group on a Hilbert space. We pa...
Matrix representations of bounded Hilbert space operators are considered. The matrices in question a...
A frame vector (or generator) for a group representation π of a countable or finite group G on a Hil...
AbstractThere are a finite number of inequivalent isometric frames (equal-norm tight frames) of n ve...
Abstract. A group-like unitary system U is a set of unitary operators such that the group generated ...
AbstractTwo Bessel sequences are orthogonal if the composition of the synthesis operator of one sequ...
A group-like unitary system U is a set of unitary operators such that the group generated by the sys...
A group-like unitary system U is a set of unitary operators such that the group generated by the sys...
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