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
Abstract. A group-like unitary system U is a set of unitary operators such that the group generated ...
10.1090/S0002-9947-04-03679-7Transactions of the American Mathematical Society356124767-478
Operator-valued frames are natural generalization of frames that have been used in many applied area...
AbstractFrames that arise from the action of an Abelian group of unitary operators are called harmon...
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...
AbstractUp to unitary equivalence, there are a finite number of tight frames of n vectors for Cd whi...
A group-like unitary system U is a set of unitary operators such that the group generated by the sys...
Abstract. Matrix representations of bounded Hilbert space operators are considered. The matrices in ...
Abstract. Matrix representations of bounded Hilbert space operators are considered. The matrices in ...
A group-like unitary system U is a set of unitary operators such that the group generated by the sys...
Abstract. We develop a natural generalization of vector-valued frame theory, we term operator-valued...
Matrix representations of bounded Hilbert space operators are considered. The matrices in question a...
Abstract. A group-like unitary system U is a set of unitary operators such that the group generated ...
10.1090/S0002-9947-04-03679-7Transactions of the American Mathematical Society356124767-478
Operator-valued frames are natural generalization of frames that have been used in many applied area...
AbstractFrames that arise from the action of an Abelian group of unitary operators are called harmon...
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...
AbstractUp to unitary equivalence, there are a finite number of tight frames of n vectors for Cd whi...
A group-like unitary system U is a set of unitary operators such that the group generated by the sys...
Abstract. Matrix representations of bounded Hilbert space operators are considered. The matrices in ...
Abstract. Matrix representations of bounded Hilbert space operators are considered. The matrices in ...
A group-like unitary system U is a set of unitary operators such that the group generated by the sys...
Abstract. We develop a natural generalization of vector-valued frame theory, we term operator-valued...
Matrix representations of bounded Hilbert space operators are considered. The matrices in question a...
Abstract. A group-like unitary system U is a set of unitary operators such that the group generated ...
10.1090/S0002-9947-04-03679-7Transactions of the American Mathematical Society356124767-478
Operator-valued frames are natural generalization of frames that have been used in many applied area...
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