Geodesic
A basis in invariant subspace of entire functions
Algebra i analiz, Tome 27 (2015) no. 2, pp. 132-195.

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A. S. Krivosheev; O. A. Krivosheyeva. A basis in invariant subspace of entire functions. Algebra i analiz, Tome 27 (2015) no. 2, pp. 132-195. http://geodesic.mathdoc.fr/item/AA_2015_27_2_a5/

[1] Leontev A. F., Tselye funktsii. Ryady eksponent, Nauka, M., 1983 | MR

[2] Napalkov V. V., Uravneniya svertki v mnogomernykh prostranstvakh, Nauka, M., 1982 | MR

[3] Leontev A. F., Posledovatelnosti polinomov iz eksponent, Nauka, M., 1980 | MR

[4] Schwartz L., “Théorie générale des fonctions moyenne-périodiques”, Ann. of Math. (2), 48:4 (1947), 857–929 | DOI | MR | Zbl

[5] Gelfond A. O., “Lineinye differentsialnye uravneniya s postoyannymi koeffitsientami beskonechnogo poryadka i asimptoticheskie periody tselykh funktsii”, Tr. Mat. in-ta AN SSSR, 38, 1951, 42–67 | MR | Zbl

[6] Krivosheev A. S., “Fundamentalnyi printsip dlya invariantnykh podprostranstv v vypuklykh oblastyakh”, Izv. RAN. Ser. mat., 68:2 (2004), 71–136 | DOI | MR | Zbl

[7] Krasichkov I. F., “Otsenki snizu dlya tselykh funktsii konechnogo poryadka”, Sib. mat. zh., 6:4 (1965), 840–861 | MR | Zbl

[8] Krivosheev A. S., Krivosheeva O. A., “Bazis v invariantnom podprostranstve analiticheskikh funktsii”, Mat. sb., 204:12 (2013), 49–104 | DOI | MR | Zbl

[9] Levin B. Ya., Raspredelenie kornei tselykh funktsii, GITTL, M., 1956

[10] Lelon P., Gruman L., Tselye funktsii mnogikh kompleksnykh peremennykh, Mir, M., 1989 | MR

[11] Azarin V. S., “Ob indikatorakh tseloi funktsii i regulyarnosti rosta koeffitsientov Fure logarifma ee modulya”, Funkts. anal. i ego pril., 9:1 (1975), 47–48 | MR | Zbl

[12] Krivosheev A. S., Napalkov V. V., “Kompleksnyi analiz i operatory svertki”, Uspekhi mat. nauk, 47:6 (1992), 3–58 | MR | Zbl

[13] Krivosheev A. S., “Ob indikatorakh tselykh funktsii i prodolzhenii reshenii odnorodnogo uravneniya svertki”, Mat. sb., 184:8 (1993), 81–108 | MR | Zbl

[14] Krivosheev A. S., “Bazisy po otnositelno malym gruppam”, Ufim. mat. zh., 2:2 (2010), 67–89 | Zbl

[15] Krivosheev A. S., “Pochti eksponentsialnaya posledovatelnost eksponentsialnykh mnogochlenov”, Ufim. mat. zh., 4:1 (2012), 88–106

[16] Khërmander L., Analiz lineinykh differentsialnykh operatorov s chastnymi proizvodnymi, v. I, Teoriya raspredelenii i analiz Fure, Mir, M., 1986

[17] Ronkin L. I., Vvedenie v teoriyu tselykh funktsii mnogikh peremennykh, Nauka, M., 1971 | MR

[18] Krivosheeva O. A., “Osobye tochki summy ryada eksponentsialnykh monomov na granitse oblasti skhodimosti”, Algebra i analiz, 23:2 (2011), 162–205 | MR

[19] Krivosheev A. S., “Pochti eksponentsialnyi bazis”, Ufim. mat. zh., 2:1 (2010), 87–96 | Zbl

[20] Krivosheeva O. A., “Oblast skhodimosti ryadov eksponentsialnykh mnogo chlenov”, Ufim. mat. zh., 5:4 (2013), 84–90

[21] Grotendik A. O., “O prostranstvakh $(F)$ i $(DF)$”, Matematika, 2:3 (1958), 81–127