Geodesic
On the index of operators with end symbol
Izvestiya. Mathematics, Tome 63 (1999) no. 4, pp. 791-825 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A study was made in [1] of the class of one-dimensional singular integral-functional equations closely connected with elliptic boundary-value problems on the plane in domains with piecewise-smooth boundaries. A criterion for the Fredholm property of these operators was formulated there in terms of the so-called end symbol. This symbol is a semi-almost periodic matrix-valued function assigned to the equation under consideration. In this paper we study this situation from a more general point of view. 
@article{IM2_1999_63_4_a7,
     author = {A. P. Soldatov},
     title = {On the index of operators with end symbol},
     journal = {Izvestiya. Mathematics},
     pages = {791--825},
     year = {1999},
     volume = {63},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1999_63_4_a7/}
}
TY  - JOUR
AU  - A. P. Soldatov
TI  - On the index of operators with end symbol
JO  - Izvestiya. Mathematics
PY  - 1999
SP  - 791
EP  - 825
VL  - 63
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/IM2_1999_63_4_a7/
LA  - en
ID  - IM2_1999_63_4_a7
ER  - 
%0 Journal Article
%A A. P. Soldatov
%T On the index of operators with end symbol
%J Izvestiya. Mathematics
%D 1999
%P 791-825
%V 63
%N 4
%U http://geodesic.mathdoc.fr/item/IM2_1999_63_4_a7/
%G en
%F IM2_1999_63_4_a7
A. P. Soldatov. On the index of operators with end symbol. Izvestiya. Mathematics, Tome 63 (1999) no. 4, pp. 791-825. http://geodesic.mathdoc.fr/item/IM2_1999_63_4_a7/

[1] Soldatov A. P., Odnomernye singulyarnye operatory, VSh, M., 1991

[2] Iosida K., Funktsionalnyi analiz, Mir, M., 1968 | MR

[3] Teilor M., Psevdodifferentsialnye operatory, Mir, M., 1985 | MR

[4] Khermander L., Otsenki dlya operatorov, invariantnykh otnositelno sdviga, IL, M., 1962

[5] Muskhelishvili N. I., Singulyarnye integralnye uravneniya, Nauka, M., 1968 | MR | Zbl

[6] Rudin U., Funktsionalnyi analiz, Mir, M., 1975 | MR

[7] Berg I., Lefstrem I., Interpolyatsionnye prostranstva. Vvedenie, Mir, M., 1980 | MR

[8] Pale R., Seminar po teoreme Ati–Zingera ob indekse, Mir, M., 1970 | MR

[9] Krein M. G., “Integralnye uravneniya Vinera–Khopfa na polupryamoi s yadrom, zavisyaschim ot raznosti argumentov”, UMN, 13:5 (1983), 3–120 | MR

[10] Gokhberg I. Ts., Feldman I. A., Uravneniya v svertkakh i proektsionnye metody ikh resheniya, Nauka, M., 1970 | MR | Zbl