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Teoreticheskaya i Matematicheskaya Fizika, 1970, Volume 5, Number 1, Pages 25–38 (Mi tmf4182)  

Space-like solutions of Gel'fand-Yaglom type equations

L. M. Slad
References:
Abstract: A study is made of the existence of space-like solutions ofGel'fand-Yaglomtype equations of the most general form. For the case when the matrix $\|c_{\tau\tau'}\|$, determining $L^0$ is either nondegenerate or Hermitian and the mass spectrum of time-like states contains no degenerate branches, i.e., $m_i(s)\equiv m_j(s+n)$ ($i\ne j$, $n=0, 1, 2,\dots$), it is shown that there is always a continuum of “masses” corresponding to space-like solutions. For the case when the mass spectrum of time-like states contains degenerate branches a class of equations is given that does not admit space-like solutions.
Received: 11.06.1969
Revised: 10.11.1969
English version:
Theoretical and Mathematical Physics, 1970, Volume 5, Issue 1, Pages 953–962
DOI: https://doi.org/10.1007/BF01035976
Bibliographic databases:
Language: Russian
Citation: L. M. Slad, “Space-like solutions of Gel'fand-Yaglom type equations”, TMF, 5:1 (1970), 25–38; Theoret. and Math. Phys., 5:1 (1970), 953–962
Citation in format AMSBIB
\Bibitem{Sla70}
\by L.~M.~Slad
\paper Space-like solutions of Gel'fand-Yaglom type equations
\jour TMF
\yr 1970
\vol 5
\issue 1
\pages 25--38
\mathnet{http://mi.mathnet.ru/tmf4182}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=475429}
\transl
\jour Theoret. and Math. Phys.
\yr 1970
\vol 5
\issue 1
\pages 953--962
\crossref{https://doi.org/10.1007/BF01035976}
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