Geodesic
On the spectral properties of translation operators in one-dimensional tubes
Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 157-161

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We study the spectral properties of some group of unitary operators in the Hilbert space of square Lebesgue integrable holomorphic functions on a one-dimensional tube (see formula (1)). Applying the Genchev transform ([2], [5]) we prove that this group has continuous simple spectrum (Theorem 4) and that the projection-valued measure for this group has a very explicit form (Theorem 5).
DOI : 10.4064/ap-55-1-157-161

Wojciech Hyb 1

1 
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Wojciech Hyb. On the spectral properties of translation operators in one-dimensional tubes. Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 157-161. doi: 10.4064/ap-55-1-157-161

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