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arXiv · 1012.4236

Operator-Valued frame generators for group-like unitary systems

Bin Meng
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Abstract

In this paper, we investigate operator-valued frames with the structure of group-like unitary system. We show the commutant of the group-like unitary system can be characterized in terms of analysis operators associated with all the operator-valued Bessel generators and give some sufficient and necessary conditions to describe when an operator-valued frame generator admits a Parseval dual.

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Bin Meng. 2010-12-24. Operator-Valued frame generators for group-like unitary systems. https://arxiv.org/abs/1012.4236

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