Imbedding theorems for the invariant subspaces of the backward shift operator
β Scribed by A. L. Vol'berg; S. R. Treil'
- Publisher
- Springer US
- Year
- 1988
- Tongue
- English
- Weight
- 589 KB
- Volume
- 42
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
For an invertible nΓn 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
Using the range function approach to shift invariant spaces in L 2 (R n ) we give a simple characterization of frames and Riesz families generated by shifts of a countable set of generators in terms of their behavior on subspaces of l 2 (Z n ). This in turn gives a simplified approach to the analysi