Geodesic
Spectral synthesis in a complex domain for a differential operator with constant coefficients. IV: Synthesis
Sbornik. Mathematics, Tome 76 (1993) no. 2, pp. 407-426 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A description is given of situations in which a subspace invariant with respect to a differential operator with constant coefficients admits spectral synthesis. 
@article{SM_1993_76_2_a8,
     author = {I. F. Krasichkov-Ternovskii},
     title = {Spectral synthesis in a~complex domain for a~differential operator with constant coefficients. {IV:~Synthesis}},
     journal = {Sbornik. Mathematics},
     pages = {407--426},
     year = {1993},
     volume = {76},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1993_76_2_a8/}
}
TY  - JOUR
AU  - I. F. Krasichkov-Ternovskii
TI  - Spectral synthesis in a complex domain for a differential operator with constant coefficients. IV: Synthesis
JO  - Sbornik. Mathematics
PY  - 1993
SP  - 407
EP  - 426
VL  - 76
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SM_1993_76_2_a8/
LA  - en
ID  - SM_1993_76_2_a8
ER  - 
%0 Journal Article
%A I. F. Krasichkov-Ternovskii
%T Spectral synthesis in a complex domain for a differential operator with constant coefficients. IV: Synthesis
%J Sbornik. Mathematics
%D 1993
%P 407-426
%V 76
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1993_76_2_a8/
%G en
%F SM_1993_76_2_a8
I. F. Krasichkov-Ternovskii. Spectral synthesis in a complex domain for a differential operator with constant coefficients. IV: Synthesis. Sbornik. Mathematics, Tome 76 (1993) no. 2, pp. 407-426. http://geodesic.mathdoc.fr/item/SM_1993_76_2_a8/

[1] Krasichkov-Ternovskii I. F., “Spektralnyi sintez v kompleksnoi oblasti dlya differentsialnogo operatora s postoyannymi koeffitsientami. I: Teorema dvoistvennosti”, Matem. sb., 182:11 (1991), 1559–1587 | MR

[2] Krasichkov-Ternovskii I. F., “Spektralnyi sintez v kompleksnoi oblasti dlya differentsialnogo operatora s postoyannymi koeffitsientami. II: Metod modulei”, Matem. sb., 183:1 (1992), 3–19 | MR | Zbl

[3] Krasichkov-Ternovskii I. F., “Spektralnyi sintez v kompleksnoi oblasti dlya differentsialnogo operatora s postoyannymi koeffitsientami. III: Obilnye podmoduli”, Matem. sb., 183:6 (1992), 55–86 | MR

[4] Krasichkov-Ternovskii I. F., “Invariantnye podprostranstva analiticheskikh funktsii. I: Spektralnyi sintez na vypuklykh oblastyakh”, Matem. sb., 87:4 (1972), 459–489 | MR

[5] Krasichkov-Ternovskii I. F., “Invariantnye podprostranstva analiticheskikh funktsii. II: Spektralnyi sintez na vypuklykh oblastyakh”, Matem. sb., 88:1 (1972), 3–30

[6] Krasichkov-Ternovskii I. F., “Spektralnyi sintez analiticheskikh funktsii na sistemakh vypuklykh oblastei”, Matem. sb., 111:1 (1980), 3–41 | MR

[7] Merzlyakov S. G., “O prostranstvakh analiticheskikh funktsii, invariantnykh otnositelno operatora kratnogo differentsirovaniya”, Matem. zametki, 40:5 (1986), 635–639 | MR | Zbl

[8] Krasichkov-Ternovskii I. F., Shishkin A. B., “Spektralnyi sintez dlya operatora kratnogo differentsirovaniya”, DAN SSSR, 307:1 (1989), 24–27 | MR

[9] Krasichkov-Ternovskii I. F., “Spektralnyi sintez na sistemakh neogranichennykh vypuklykh oblastei”, Matem. sb., 111:3 (1980), 384–401 | MR

[10] Merzlyakov S. G., “Invariantnye podprostranstva operatora kratnogo differentsirovaniya”, Matem. zametki, 33:5 (1983), 701–713 | MR | Zbl

[11] Burbaki N., Topologicheskie vektornye prostranstva, IL, M., 1959

[12] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz v normirovannykh prostranstvakh, Fizmatgiz, M., 1959 | MR

[13] Krasichkov-Ternovskii I. F., “Invariantnye podprostranstva analiticheskikh funktsii. Analiticheskoe prodolzhenie.”, Izv. AN SSSR. Ser. matem., 37:4 (1973), 931–945 | MR

[14] Krasichkov-Ternovskii I. F., “Metody approksimatsii funktsii iz invariantnykh podprostranstv polinomami Dirikhle”, Sib. mat. zhurnal, XVI:5 (1975), 1020–1029

[15] Dedonne Zh., Shvarts L., “Dvoistvennost v prostranstvakh $(\mathcal F)$ i $(\mathcal L\mathcal F)$”, Matematika, 2:2 (1958), 77–102

[16] Kurosh A. G., Kurs vysshei algebry, Gostekhizdat, M., 1953

[17] Dieudonué M. J., “La dualité dans les espaces vectoriels topologique”, Ann. sient. Ecole norm. supér., 59 (1942), 107–139 | MR

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

[19] Stoilov S., Teoriya funktsii kompleksnogo peremennogo, T. 1, IL, M., 1962

[20] Delsartes J., Lions J. L., “Transmutations d'operateurs differentielles dans le domain complexe”, Comment. math. Helv., 32:2 (1957), 113–123 | MR

[21] Fage M. K., “Operatorno-analiticheskie funktsii odnoi nezavisimoi peremennoi”, Tr. MMO, 7, URSS, M., 1958, 227–268 | MR | Zbl

[22] Fishman K. M., “K voprosu ob ekvivalentnosti differentsialnykh operatorov v prostranstve analiticheskikh funktsii v kruge”, UMN, XIX:5 (1964), 143–147