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On the spectral properties of translation operators in one-dimensional tubes

100%

Hyb W.

Annales Polonici Mathematici

1991

tom 55

nr 1

157-161

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).

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On some minimal transformations of compact spaces

38%

Hyb W.

Colloquium Mathematicum

1978

tom 39

nr 1

65-71

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1 Annales Polonici Mathematici

1 Colloquium Mathematicum

2 Hyb W.

1 1991

1 1978

Wyniki wyszukiwania

On the spectral properties of translation operators in one-dimensional tubes

On some minimal transformations of compact spaces