caa a22 4500 469034599 CHVBK 20180323132753.0 cr unu---uuuuu 170328e19920901xx s 000 0 eng 10.1007/BF01017080 doi (NATIONALLICENCE)springer-10.1007/BF01017080 Shondin Yu aut Perturbation of differential operators on high-codimension manifold and the extension theory for symmetric linear relations in an indefinite metric space [Elektronische Daten] [Yu. Shondin] The problem of realization of nontrivial perturbations supported on thin sets of "codimension” ν in Rn for elliptic operators of order m, when ν≥2m, is formulated as one of construction of the self-adjoint extensions of some symmetric linear relation in an indefinite metric space. The self-adjoint extensions and their resolvents are described. It is found that the same extensions can be obtained as a result of extensions of some symmetric operator in L2 (Rn) with it going out to a larger indefinite metric space. But such an operator is chosen already by the "nonlocal” boundary conditions. Applications to quantum models of point interactions are discussed. Plenum Publishing Corporation, 1993 Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 92/3(1992-09-01), 1032-1037 0040-5779 92:3<1032 1992 92 11232 https://doi.org/10.1007/BF01017080 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01017080 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Shondin Yu aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 92/3(1992-09-01), 1032-1037 0040-5779 92:3<1032 1992 92 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer