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Teoreticheskaya i Matematicheskaya Fizika, 1970, Volume 5, Number 1, Pages 25–38
(Mi tmf4182)
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Space-like solutions of Gel'fand-Yaglom type equations
L. M. Slad
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
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
Linking options:
https://www.mathnet.ru/eng/tmf4182 https://www.mathnet.ru/eng/tmf/v5/i1/p25
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