On Series with Respect to Root Vectors of Operators Associated with Forms Having Symmetric Principal Part
Funkcionalʹnyj analiz i ego priloženiâ, Tome 28 (1994) no. 3, pp. 1-21.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{FAA_1994_28_3_a0,
     author = {M. S. Agranovich},
     title = {On {Series} with {Respect} to {Root} {Vectors} of {Operators} {Associated} with {Forms} {Having} {Symmetric} {Principal} {Part}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {1--21},
     publisher = {mathdoc},
     volume = {28},
     number = {3},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1994_28_3_a0/}
}
TY  - JOUR
AU  - M. S. Agranovich
TI  - On Series with Respect to Root Vectors of Operators Associated with Forms Having Symmetric Principal Part
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1994
SP  - 1
EP  - 21
VL  - 28
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1994_28_3_a0/
LA  - ru
ID  - FAA_1994_28_3_a0
ER  - 
%0 Journal Article
%A M. S. Agranovich
%T On Series with Respect to Root Vectors of Operators Associated with Forms Having Symmetric Principal Part
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1994
%P 1-21
%V 28
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1994_28_3_a0/
%G ru
%F FAA_1994_28_3_a0
M. S. Agranovich. On Series with Respect to Root Vectors of Operators Associated with Forms Having Symmetric Principal Part. Funkcionalʹnyj analiz i ego priloženiâ, Tome 28 (1994) no. 3, pp. 1-21. http://geodesic.mathdoc.fr/item/FAA_1994_28_3_a0/

[1] Agranovich M. S., “Ellipticheskie operatory na zamknutykh mnogoobraziyakh”, Sovremennye problemy matematiki. Fundamentalnye napravleniya, 63, VINITI, M., 1990, 5–129 | MR

[2] Agranovich M. S., “Nonselfadjoint elliptic operators in nonsmooth domains”, Russian J. Math. Phys., 2:2 (1994) | DOI | MR | Zbl

[3] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972 | MR | Zbl

[4] Markus A. S., Matsaev V. I., “Operatory, porozhdennye polutoralineinymi formami, i ikh spektralnye asimptotiki”, Matem. issled., 61 (1981), 86–103 | MR | Zbl

[5] Markus A. S., “O razlozhenii po kornevym vektoram slabo vozmuschennogo samosopryazhennogo operatora”, DAN SSSR, 142:3 (1962), 538–541 | MR | Zbl

[6] Katsnelson V. E., O skhodimosti i summiruemosti ryadov po kornevym vektoram nekotorykh klassov nesamosopryazhennykh operatorov., Kandidatskaya diss., Kharkov, 1967

[7] Katsnelson V. E., “Ob usloviyakh bazisnosti sistemy kornevykh vektorov nekotorykh klassov operatorov”, Funkts. analiz i ego pril., 1:2 (1967), 39–51 | MR

[8] Lidskii V. B., “O summiruemosti ryadov po glavnym vektoram nesamosopryazhennykh operatorov”, Trudy Mosk. matem. o-va, 11, 1961, 3–35 | MR

[9] Markus A. S., Matsaev V. I., “O skhodimosti razlozhenii po sobstvennym vektoram operatora, blizkogo k samosopryazhennomu”, Matem. issled., 61 (1981), 104–129 | MR | Zbl

[10] Markus A. S., Vvedenie v spektralnuyu teoriyu polinomialnykh operatornykh puchkov, Shtiintsa, Kishinev, 1986 | MR | Zbl

[11] Markus A. S., Matsaev V. I., “Teoremy sravneniya spektrov lineinykh operatorov i spektralnye asimptotiki”, Trudy Mosk. matem. o-va, 45, 1982, 133–181 | MR | Zbl

[12] Grinshpun E., “Asymptotics of spectrum under infinitesimally form-bounded perturbation”, Integral Equations Operator Theory (to appear) | MR

[13] Matsaev V. I., “Ob odnom metode otsenki rezolvent nesamosopryazhennykh operatorov”, DAN SSSR, 154:5 (1964), 1034–1037 | Zbl

[14] Matsaev V. I., “Neskolko teorem o polnote kornevykh podprostranstv vpolne nepreryvnykh operatorov”, DAN SSSR, 155:2 (1964), 273–276 | Zbl

[15] Mogulskii E. Z., “Teorema polnoty sistemy sobstvennykh i prisoedinennykh vektorov ratsionalnogo operatornogo puchka”, Izv. AN Arm. SSR, ser. mat., 3:6 (1968), 427–442 | MR

[16] Palant Yu. A., “Ob odnom metode polucheniya priznakov kratnoi polnoty sistemy sobstvennykh i prisoedinennykh vektorov polinomialnogo puchka operatorov”, Vestnik Kharkovskogo un-ta, 1970, no. 34, 3–13 | MR | Zbl

[17] Danford N., Shvarts Dzh. T., Lineinye operatory. Spektralnaya teoriya, Mir, M., 1966

[18] Levin B. Ya., Raspredelenie kornei tselykh funktsii, Gostekhizdat, M., 1956

[19] Agranovich M. S., “O skhodimosti ryadov po kornevym vektoram operatorov, ochen blizkikh k samosopryazhennym”, Trudy Mosk. matem. o-va, 41, 1980, 163–180 | MR | Zbl

[20] Agmon Sh., Elliptic Boundary Value Problems, Van Nostrand, 1965 | MR | Zbl

[21] Birman M. S., Solomyak M. Z., “Spektralnaya asimptotika negladkikh ellipticheskikh operatorov, II”, Trudy Mosk. matem. o-va, 28, 1973, 3–24 | MR

[22] Grisvard P., Elliptic Problems in Nonsmooth Domains, Pittman, 1985 | MR | Zbl

[23] Vishik M. I., “Kvazilineinye silno ellipticheskie sistemy differentsialnykh uravnenii, imeyuschie divergentnuyu formu”, Trudy Mosk. matem. o-va, 12, 1963, 125–184 | Zbl

[24] Nec̆has J., Les méthodes directes en théorie des équations elliptiques, Academia, Prague, 1967 | MR

[25] Vasilev D. G., “Dvuchlennaya asimptotika spektra kraevoi zadachi v sluchae kusochno-gladkoi granitsy”, DAN SSSR, 286:5 (1986), 1043–1046 | MR