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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 327, Pages 25–54
(Mi znsl322)
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Invariant transformations for the Sturm–Liouville operator
A. Vagharshakyan Institute of Mathematics, National Academy of Sciences of Armenia
Abstract:
In this paper we consider the Sturm–Liouville operator
on a finite interval. For particular boundary conditions,
a group of invariant transformations that preserve the
operator's spectrum is constructed. This result permits
us to reconsider some old problems for the Sturm–Liouville
operator. In particular, the influence of this group on the
inverse problem is discussed.
Received: 27.03.2005
Citation:
A. Vagharshakyan, “Invariant transformations for the Sturm–Liouville operator”, Investigations on linear operators and function theory. Part 33, Zap. Nauchn. Sem. POMI, 327, POMI, St. Petersburg, 2005, 25–54; J. Math. Sci. (N. Y.), 139:2 (2006), 6374–6392
Linking options:
https://www.mathnet.ru/eng/znsl322 https://www.mathnet.ru/eng/znsl/v327/p25
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