Geodesic
On operators which commute with the Pommiez type operator in weighted spaces of entire functions
Algebra i analiz, Tome 28 (2016) no. 2, pp. 114-137.

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

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     author = {O. A. Ivanova and S. N. Melikhov},
     title = {On operators which commute with the {Pommiez} type operator in weighted spaces of entire functions},
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     url = {http://geodesic.mathdoc.fr/item/AA_2016_28_2_a5/}
}
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O. A. Ivanova; S. N. Melikhov. On operators which commute with the Pommiez type operator in weighted spaces of entire functions. Algebra i analiz, Tome 28 (2016) no. 2, pp. 114-137. http://geodesic.mathdoc.fr/item/AA_2016_28_2_a5/

[1] Gelfond A. O., Ischislenie konechnykh raznostei, GIFML, M., 1959 | MR

[2] Ivanova O. A., Melikhov S. N., “O formulakh dlya koeffitsientov ryadov po funktsiyam Mittag–Lefflera dlya analiticheskikh funktsii”, Issledovaniya po sovremennomu analizu i matematicheskomu modelirovaniyu, Izd-vo VNTs RAN i RSO-A, Vladikavkaz, 2014, 251–260

[3] Ivanova O. A., Melikhov S. N., “Ob interpoliruyuschei funktsii A. F. Leonteva”, Ufimsk. mat. zh., 6:3 (2014), 17–27 | MR

[4] Kazmin Yu. A., “O posledovatelnykh ostatkakh ryada Teilora”, Vestn. Mosk. un-ta. Ser. 1. Mat., mekh., 1963, no. 5, 35–46 | MR | Zbl

[5] Korobeinik Yu. F., Operatory sdviga na chislovykh semeistvakh, Izd-vo RGU, Rostov-na-Donu, 1983 | MR

[6] Korobeinik Yu. F., “K voprosu o razlozhenii analiticheskikh funktsii v ryady po ratsionalnym funktsiyam”, Mat. zametki, 31:5 (1982), 723–737 | MR | Zbl

[7] Linchuk N. E., “Predstavlenie kommutantov operatora Pomme i ikh prilozheniya”, Mat. zametki, 44:6 (1988), 794–802 | MR | Zbl

[8] Linchuk S. S., Nagnibida N. I., “Ob ekvivalentnosti operatorov Pomme v prostranstve analiticheskikh v kruge funktsii”, Sib. mat. zh., 31:3 (1990), 507–513 | MR

[9] Khaplanov M. G., “O polnote nekotorykh sistem analiticheskikh funktsii”, Uchen. zapiski Rostovsk. gos. ped. in-ta, 3, Rostov-na-Donu, 1955, 53–58 | Zbl

[10] Khermander L., Vvedenie v teoriyu funktsii neskolkikh kompleksnykh peremennykh, Mir, M., 1968 | MR

[11] Sherstyukov V. B., “Netrivialnye razlozheniya nulya i predstavlenie analiticheskikh funktsii ryadami prostykh drobei”, Sib. mat. zh., 48:2 (2007), 458–473 | MR | Zbl

[12] Shefer Kh., Topologicheskie vektornye prostranstva, Mir, M., 1971 | MR

[13] Edvards R., Funktsionalnyi analiz. Teoriya i prilozheniya, Mir, M., 1969

[14] Binderman Z., “Functional shifts induced by right invertible operators”, Math. Nachr., 157 (1992), 211–224 | DOI | MR | Zbl

[15] Dimovski I. N., Hristov V. Z., “Commutants of the Pommiez operator”, Int. J. Math. Math. Sci., 8 (2005), 1239–1251 | DOI | MR | Zbl

[16] Douglas R. G., Shapiro H. S., Shields A. I., “Cyclic vectors and invariant subspaces for the backward shift operator”, Ann. Inst. Fourier (Grenoble), 20:1 (1970), 37–76 | DOI | MR | Zbl

[17] Godefroy G., Shapiro J. H., “Operators with dense, invariant, cyclic vector manifolds”, J. Funct. Anal., 98:2 (1991), 229–269 | DOI | MR | Zbl

[18] Köthe G., “Dualität in der Funktionentheorie”, J. Reine Angew. Math., 191 (1953), 30–49 | MR | Zbl

[19] Linchuk Yu. S., “Cyclical elements of operators which are left-inverses to multiplication by an independent variable”, Methods Funct. Anal. Topology, 12:4 (2006), 384–388 | MR | Zbl

[20] Pommiez M., “Sur les zéros des restes successifs des séries de Taylor”, C. R. Acad. Sci. Paris, 250:7 (1960), 1168–1170 | MR | Zbl

[21] Pommiez M., “Sur les restes successifs des séries de Taylor”, C. R. Acad. Sci. Paris, 250:15 (1960), 2669–2671 | MR | Zbl

[22] Pommiez M., “Sur les restes et les dérivées des séries de Taylor”, C. R. Acad. Sci. Paris, 251:17 (1960), 1707–1709 | MR | Zbl

[23] Pommiez M., “Sur les différences divisées successives et les restes des séries de Newton généralisées”, Ann. Fac. Sci. Univ. Toulouse (4), 28 (1964), 101–110 | DOI | MR