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 Mat. Zametki, 1973, Volume 14, Issue 5, Pages 609–614 (Mi mz9945)

A modification of the uniqueness criterion for the solution of the Watson problem for a half-plane

Erevan State University

Abstract: It is proved that a known theorem yielding the solution of the Watson problem for a half-plane in terms of the Ostrovskii function remains valid if the Ostrovskii function $T(r)=\sup\limits_{n\geqslant0}r^n/m_n$ is replaced by the function $\widetilde{T}(r)=\sup\limits_{r\geqslant x>0}r^x/m(x)$, where for $x\in[n, n+1)$ the function $m(x)=m_n$, or by the function $T^*(r)=\sup\limits_{r\geqslant n\geqslant0}r^n/m_n$.

Full text: PDF file (474 kB)

English version:
Mathematical Notes, 1973, 14:5, 909–912

Bibliographic databases:

UDC: 517.5

Citation: G. V. Badalyan, “A modification of the uniqueness criterion for the solution of the Watson problem for a half-plane”, Mat. Zametki, 14:5 (1973), 609–614; Math. Notes, 14:5 (1973), 909–912

Citation in format AMSBIB
\Bibitem{Bad73} \by G.~V.~Badalyan \paper A modification of the uniqueness criterion for the solution of the Watson problem for a half-plane \jour Mat. Zametki \yr 1973 \vol 14 \issue 5 \pages 609--614 \mathnet{http://mi.mathnet.ru/mz9945} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=330468} \zmath{https://zbmath.org/?q=an:0282.30031} \transl \jour Math. Notes \yr 1973 \vol 14 \issue 5 \pages 909--912 \crossref{https://doi.org/10.1007/BF01462248}