A bounded linear operator T on a complex Hilbert space will be called completely indecomposable if its spectrum is not a singleton, and is included in the spectrum of the restrictions of T and T \* to any of their nonzero invariant subspaces. Two classes of completely indecomposable operators are co
Heisenberg uniqueness pairs and a theorem of Beurling and Malliavin
✍ Scribed by Per Sjölin
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- French
- Weight
- 102 KB
- Volume
- 135
- Category
- Article
- ISSN
- 0007-4497
No coin nor oath required. For personal study only.
✦ Synopsis
Let T denote the unit circle in the plane. For various simple sets Λ in the plane we shall study the question whether (T, Λ) is a Heisenberg uniqueness pair. For example, we shall consider the cases where Λ is a circle or a union of two straight lines. We shall also use a theorem of Beurling and Malliavin.
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