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The Uniqueness of Shift-Generated Duals for Frames in Shift-Invariant Subspaces

✍ Scribed by A. Askari Hemmat; Jean-Pierre Gabardo


Publisher
SP Birkhäuser Verlag Boston
Year
2007
Tongue
English
Weight
163 KB
Volume
13
Category
Article
ISSN
1069-5869

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Kernels of Gramian operators for frames
✍ A. Askari Hemmat; J.-P. Gabardo 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 256 KB

For an invertible n×n matrix B and a finite or countable subset of Our main objects of interest in this paper are the kernel of the associated Gramian G(.) and dual Gramian G(.) operator-valued functions. We show in particular that the orthogonal complement of M in L 2 (R n ) can be generated by a