Literature cited
A. M. Krall, “The development of general differential and general differential-boundary systems,” Rocky Mount. J. Math.,5, No. 4, 493–542 (1975).
V. M. Bruk, “On a class of boundary problems with spectral parameter in bounded conditions,” Mat. Sb.,100, No. 2, 210–216 (1976).
A. N. Kochubei, “On extensions of symmetric operators and symmetric binary relations,” Mat. Zametki,17, No. 1, 41–48 (1975).
A. N. Kochubei, “On extensions of nondensely defined symmetric operators,” Sib. Mat. Zh.,18, No. 2 (1977).
E. A. Coddington and A. Dijksma, “Self-adjoint subspaces and eigenfunction expansions for ordinary differential subspaces,” J. Diff. Equations,20, No. 2, 473–526 (1976).
E. A. Coddington, “Self-adjoint subspace extensions of nondensely defined symmetric operators,” Adv. Math.,14, No. 3, 309–332 (1974).
Yu. M. Berezanskii, Expansion of Self-Adjoint Operators in Eigenfunctions [in Russian], Naukova Dumka, Kiev (1965).
V. I. Gorbachuk and M. L. Gorbachuk, “Some questions of spectral theory of first-order differential equations with operator coefficients,” in: Applications of Functional Analysis to Mathematical Physics [in Russian], Kiev (1973), pp. 83–124.
J. Locker, “Self-adjointness for multipoint differential operators,” Pac. J. Math.,45, No. 2, 561–570 (1973).
S. Bochner and A. E. Taylor, “Linear functionals on certain spaces of abstractly valued functions,” Ann. Math.,39, No. 4, 913–944 (1938).
E. Goursat, Course in Mathematical Analysis, Vol. 1, Dover.
M. M. Gekhtman and I. V. Stankevich, “Generalized Kronig—Penney problem,” Funkts. Analiz,11, No. 1, 61–62 (1977).
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Translated from Matematicheskie Zametki, Vol. 25, No. 3, pp. 425–434, March, 1979.
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Kochubei, A.N. Symmetric operators and nonclassical spectral problems. Mathematical Notes of the Academy of Sciences of the USSR 25, 224–229 (1979). https://doi.org/10.1007/BF01159516
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DOI: https://doi.org/10.1007/BF01159516