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Weak Affine Super Bi-frames for Reducing Subspaces of \(L^{2}(\mathbb R,\,\mathbb C^{L})\)

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Abstract

The theory of superframes is widely used in multiplexing techniques. In this paper, we obtain a characterization of weak affine super bi-frames in reducing subspaces of \(L^{2}(\mathbb R,\,\mathbb C^{L})\). Our results are new even in \(L^{2}(\mathbb R,\,\mathbb C^L)\). Some examples are also provided.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant No. 11271037). The authors would like to thank the referees for their comments which greatly improve the quality and readability of this article.

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Correspondence to Yun-Zhang Li.

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Supported by the National Natural Science Foundation of China (Grant No. 11271037).

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Li, YZ., Tian, Y. Weak Affine Super Bi-frames for Reducing Subspaces of \(L^{2}(\mathbb R,\,\mathbb C^{L})\). Results Math 73, 96 (2018). https://doi.org/10.1007/s00025-018-0857-y

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  • DOI: https://doi.org/10.1007/s00025-018-0857-y

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