Abstract
We prove a uniqueness theorem for triangular Parseval frame with n + 1 vectors in \(\mathbb{R}^{n}\). We also provide a characterization of unit-norm frames that can be scaled to Parseval frames.
Mathematics Subject Classification (2000). Primary 42C15, Secondary 46C99
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Notes
- 1.
We are indebted to P. Casazza for this remark.
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Acknowledgements
We wish to thank Prof. P. Casazza and Dr. J. Cahill for stimulating conversations.
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De Carli, L., Hu, Z. (2016). Parseval Frames with n + 1 Vectors in \(\mathbb{R}^{n}\) . In: Ruzhansky, M., Tikhonov, S. (eds) Methods of Fourier Analysis and Approximation Theory. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-27466-9_2
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DOI: https://doi.org/10.1007/978-3-319-27466-9_2
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