Remarks on restricted Nevanlinna transforms

• Autorzy: Jankowski L. , Jurek Z. J.
• Języki publikacji: EN

Abstrakty

EN

The Nevalinna transform (…) of a positive measure (…) and a constant a, plays an important role in complex analysis and - more recently - in the context of the boolean convolution. We show here that its restriction to the imaginary axis, (…), can be expressed as the Laplace transform of the Fourier transform (a characteristic function) of (…). Consequently, (…) is sufficient for the unique identification of the measure (…) and the constant a. Finally, we identify a relation between the free additive Voiculescu (…) and boolean convolutions.

Słowa kluczowe

EN

Nevanlinna transform; self-energy functional; Fourier and Laplace transforms; free additive Voiculescu convolution; boolean infinitely divisible measures

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 2
• Strony: 297--307
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Jankowski L.

autor

Jurek Z. J.

• Institute Of Mathematics University of Wroclaw Pl. Grunwaldzki 2/4 50-384 Wroclaw, Poland,

Bibliografia

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