Treatise on the Shift Operator¶
Nikol’skiĭ, N. K. (1986). Treatise on the Shift Operator: Spectral Function Theory. Springer.
Cited by¶
1 citation across 1 artifact.
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Domain-specific¶
- Shift Operator
- Fricain and Mashreghi devote a full chapter to bilateral and unilateral shifts, their commutants, cyclic vectors, invariant subspaces, and weighted versions. Nikol'skii's treatise centers spectral function theory on the shift `Sf(z)=z f(z)` on Hardy space and compressions of that operator to coinvariant subspaces.
This sourceDevelops the Hardy-space shift `Sf=zf`, compression models, and spectral function theory.
- Fricain and Mashreghi devote a full chapter to bilateral and unilateral shifts, their commutants, cyclic vectors, invariant subspaces, and weighted versions. Nikol'skii's treatise centers spectral function theory on the shift `Sf(z)=z f(z)` on Hardy space and compressions of that operator to coinvariant subspaces.
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