Generalized Spectral Theory and Second Order Ordinary Differential Operators
Canadian journal of mathematics, Tome 25 (1973) no. 1, pp. 178-193

Voir la notice de l'article provenant de la source Cambridge University Press

This paper continues the study, begun in [7], of the spectral theory of non-self-ad joint second order ordinary differential operators on a half-line. The case of a ‘Very small” potential was studied in [4; 5; 6]. The case considered in [7], and in the present paper, is that where the potential is not so small.
Sussmann, Héctor J. Generalized Spectral Theory and Second Order Ordinary Differential Operators. Canadian journal of mathematics, Tome 25 (1973) no. 1, pp. 178-193. doi: 10.4153/CJM-1973-016-6
@article{10_4153_CJM_1973_016_6,
     author = {Sussmann, H\'ector J.},
     title = {Generalized {Spectral} {Theory} and {Second} {Order} {Ordinary} {Differential} {Operators}},
     journal = {Canadian journal of mathematics},
     pages = {178--193},
     year = {1973},
     volume = {25},
     number = {1},
     doi = {10.4153/CJM-1973-016-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-016-6/}
}
TY  - JOUR
AU  - Sussmann, Héctor J.
TI  - Generalized Spectral Theory and Second Order Ordinary Differential Operators
JO  - Canadian journal of mathematics
PY  - 1973
SP  - 178
EP  - 193
VL  - 25
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-016-6/
DO  - 10.4153/CJM-1973-016-6
ID  - 10_4153_CJM_1973_016_6
ER  - 
%0 Journal Article
%A Sussmann, Héctor J.
%T Generalized Spectral Theory and Second Order Ordinary Differential Operators
%J Canadian journal of mathematics
%D 1973
%P 178-193
%V 25
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-016-6/
%R 10.4153/CJM-1973-016-6
%F 10_4153_CJM_1973_016_6

[1] 1. Colojoara, I. and Foias, C., Theory of generalized spectral operators (Gordon and Breach, New York, 1968). Google Scholar

[2] 2. Dunford, N., A survey of the theory of spectral operators, Bull. Amer. Math. Soc. 64 (1958), 217–274. Google Scholar

[3] 3. Dunford, N. and Schwartz, J., Linear operators, Vol. 1 (Interscience, New York, 1958). Google Scholar

[4] 4. Dunford, N. and Schwartz, J., Linear operators, Vol. 3 (Interscience, to appear). Google Scholar

[5] 5. Ljance, V. E., A differential operator with spectral singularities. I, Mat. Sb. 64 (1964), 521-561 ; II, Mat. Sb. 65 (1964), 47–109 (Russian). Google Scholar

[6] 6. Dunford, N. and Schwartz, J., Expansion in principal functions of an operator with spectral singularities, Rev. Roumaine Math. Pures Appl. 11 (1966), 921–950 and 1187-1224 (Russian). Google Scholar

[7] 7. Sussmann, H. J., Non-spectrality of a class of second order ordinary differential operators, Comm. Pure Appl. Math. 23 (1970), 819–840. Google Scholar

Cité par Sources :