@article{VMJ_2007_9_2_a1,
author = {V. P. Kondakov},
title = {On the differentiability of mappings and the structure of spaces of holomorphic functions on infinite-dimensional spaces},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {9--21},
year = {2007},
volume = {9},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2007_9_2_a1/}
}
TY - JOUR AU - V. P. Kondakov TI - On the differentiability of mappings and the structure of spaces of holomorphic functions on infinite-dimensional spaces JO - Vladikavkazskij matematičeskij žurnal PY - 2007 SP - 9 EP - 21 VL - 9 IS - 2 UR - http://geodesic.mathdoc.fr/item/VMJ_2007_9_2_a1/ LA - ru ID - VMJ_2007_9_2_a1 ER -
%0 Journal Article %A V. P. Kondakov %T On the differentiability of mappings and the structure of spaces of holomorphic functions on infinite-dimensional spaces %J Vladikavkazskij matematičeskij žurnal %D 2007 %P 9-21 %V 9 %N 2 %U http://geodesic.mathdoc.fr/item/VMJ_2007_9_2_a1/ %G ru %F VMJ_2007_9_2_a1
V. P. Kondakov. On the differentiability of mappings and the structure of spaces of holomorphic functions on infinite-dimensional spaces. Vladikavkazskij matematičeskij žurnal, Tome 9 (2007) no. 2, pp. 9-21. http://geodesic.mathdoc.fr/item/VMJ_2007_9_2_a1/
[1] Frelikher A., Bukher V., Differentsialnoe ischislenie v vektornykh prostranstvakh bez normy, Mir, M., 1970, 168 pp. | MR
[2] Hogbe-Nlend H., Theorie des bornologies et applications, LNM, Springer, 1971, 144 pp. | MR | Zbl
[3] Averbukh V. I., Smolyanov O. G., “Razlichnye opredeleniya proizvodnoi v lineinykh topologicheskikh prostranstvakh”, Uspekhi mat. nauk, 23:48 (1968), 67—116 | Zbl
[4] Rolewich S., Metric linear spaces, D-Reidel Publishing Company, Dordrecht etc.; PWN-Polich Scientific Publishers, Warszawa, 1984, 495 pp. | MR
[5] Robertson A. P., Robertson V. Dzh., Topologicheskie vektornye prostranstva, Mir, M., 1967, 257 pp. | MR | Zbl
[6] Hille E., Phillips R. S., Functional Analysis and Semi-Groups, Colloquium Publications, 31, Providence, Rhode Island, 1957, 796 pp. | MR | Zbl
[7] Khrennikov A. Yu., Peterson Kh., “Teorema Peli — Vinera dlya obobschennykh tselykh funktsii na beskonechnomernykh prostranstvakh”, Izv. RAN. Ser. mat., 65:2 (2001), 201–224 | MR | Zbl
[8] Kondratiev Y., Streit L., Westerkamp W., Yan J., Generalized Functions in Infinite Dimensional Analysis, 2002, 45 pp., arXiv: math/0211196v1
[9] Erve M., Funktsii mnogikh kompleksnykh peremennykh, Mir, M., 1965, 165 pp. | MR
[10] Narasimkhan R., Analiz na deistvitelnykh i kompleksnykh mnogoobraziyakh, Mir, M., 1971, 232 pp.
[11] Chae S. B., Holomorphy and calculus in normed spaces, Pure and Appl. Math., 92, Dekker, New York etc., 1985 | MR | Zbl
[12] Dineen S., “Complex analysis in locally convex spaces”, Math. Studies, 57 (1981) | MR | Zbl
[13] Berezanskii Yu. M., Samoilenko Yu. S., Us G. F., “Samosopryazhennye operatory v prostranstvakh funktsii beskonechnogo chisla peremennykh”, Teoriya operatorov v funktsionalnykh prostranstvakh, Nauka, Novosibirsk, 1977, 20–41 | MR
[14] Ryan R. A., “Holomorphie Mappings on $l_1$”, Trans. Amer. Math. Soc., 302:2 (1987), 797–811 | MR | Zbl
[15] Defant A., Kalton N., “Unconditionality in spaces of $m$-hologeneons polynomials”, Quart. J. Math., 56 (2005), 53–64 | DOI | MR | Zbl
[16] Boland P. J., Dineen S., “Holomorphic functions on fully nuclear spaces”, Bull. Soc. Math. France, 106 (1978), 311–336 | MR | Zbl
[17] Dineen S., Timoney R. M., “Absolute bases, tensor products and a theorem of Bohr”, Studia Math., XCIV (1989), 227–234 | MR | Zbl
[18] Kondakov V. P., “O predstavlenii v vide prostranstv Këte prostranstv golomorfnykh funktsii”, Vladikavk. mat. zhurn., 7:4 (2005), 22–29 | MR
[19] Borgens J., Meise R., Vogt D., “Entire functions on nuclear sequence spaces”, J. Reine Angew. Math., 322 (1981), 196–220 | MR
[20] Meise R., Vogt D., “Structure of spaces of functions on infinite-dimensional polydiscs”, Studia Math., 75 (1983), 235–252 | MR | Zbl
[21] Kondakov V. P., Voprosy geometrii nenormiruemykh prostranstv, IRU, Rostov-na-Donu, 1983, 72 pp. | MR