Holomorphic functions on fully nuclear spaces
Boland, Philip J. ; Dineen, Seán
Bulletin de la Société Mathématique de France, Tome 106 (1978), p. 311-336 / Harvested from Numdam
@article{BSMF_1978__106__311_0,
     author = {Boland, Philip J. and Dineen, Se\'an},
     title = {Holomorphic functions on fully nuclear spaces},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     volume = {106},
     year = {1978},
     pages = {311-336},
     doi = {10.24033/bsmf.1875},
     mrnumber = {81b:46060},
     zbl = {0402.46017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BSMF_1978__106__311_0}
}
Boland, Philip J.; Dineen, Seán. Holomorphic functions on fully nuclear spaces. Bulletin de la Société Mathématique de France, Tome 106 (1978) pp. 311-336. doi : 10.24033/bsmf.1875. http://gdmltest.u-ga.fr/item/BSMF_1978__106__311_0/

[1] Barroso (J. A.). - Topologias nos espaços de aplicacoes holomorfas entre espaços localmente convexos, Anais. Acad. Bras. Ciencias, t. 43, 1971, p. 527-546. | MR 46 #7874 | Zbl 0246.46012

[2] Barroso (J. A.), Matos (M. C.), Nachbin (L.). - On bounded sets of holomorphic mappings, "Proceedings on infinite dimensional holomorphy", University of Kentucky, 1973", p. 123-133. - Berlin, Springer-Verlag, 1974 (Lecture Notes in Mathematics, 364). | MR 52 #15003 | Zbl 0282.46032

[3] Barroso (J. A.), Nachbin (L.). - τ = τω for domains in CN (preprint).

[4] Bierstedt (K. D.), Meise (R.). - Nuclearity and the Schwartz property in the theory of holomorphic functions on metrizable locally convex spaces, "Infinite dimensional holomorphy and applications [1975 São Paulo]", p. 93-129. - Amsterdam, North-Holland publishing Company, 1977 (North-Holland Mathematics Studies, 12 ; Notas de Matematica, 54). | MR 58 #30236 | Zbl 0373.46054

[5] Bierstedt (K. D.), Meise (R.). - H (K) et (H (U), τω) sur des espaces métrisables nucléaires ou de Schwartz, C.R. Acad. Sc. Paris, t. 283, série A, 1976, p. 325-327. | MR 58 #2275 | Zbl 0341.46028

[6] Boland (P. J.). - Malgrange theorem for entire functions on nuclear spaces, "Proceedings on infinite dimensional holomorphy, University of Kentucky 1973", p. 135-144. - Berlin, Springer-Verlag, 1974 (Lecture Notes in Mathematics, 364). | MR 54 #8285 | Zbl 0282.46019

[7] Boland (P. J.). - Holomorphic functions on nuclear spaces, Trans. Amer. math. Soc., t. 209, 1975, p. 275-281. | MR 52 #8931 | Zbl 0317.46036

[8] Boland (P. J.). - An example of a nuclear space in infinite dimensional holomorphy, Arkiv för Matematik, t. 15, 1977, p. 87-91. | MR 56 #9263 | Zbl 0348.46035

[9] Boland (P. J.). - Duality and spaces of holomorphic functions, "Infinite dimensional holomorphy and applications [1975. São Paulo]", p. 131-138. - Amsterdam, North-Holland publishing Company, 1977 (North-Holland Mathematics Studies, 12 ; Notas de Matematica, 54). | MR 58 #12359 | Zbl 0372.46026

[10] Dineen (S.). - Holomorphic functions on locally convex topological vector spaces, I : Locally convex topologies on ℋ (U), Ann. Inst. Fourier, Grenoble, t. 23, 1973, fasc. 1, p. 19-54. | Numdam | MR 58 #17843 | Zbl 0241.46022

[11] Dineen (S.). - Surjective limits of locally convex spaces and their applications to infinite dimensional holomorphy, Bull. Soc. math. France, t. 103, 1975, p. 441-509. | Numdam | MR 54 #11058 | Zbl 0328.46045

[12] Dineen (S.). - Holomorphic functions on strong duals of Fréchet-Montel spaces, "Infinite dimensional holomorphy and applications [1975. São Paulo]", p. 147-166. - Amsterdam, North-Holland publishing Company, 1977 (North-Holland Mathematics Studies, 12 ; Notas de Matematica, 54). | MR 58 #12360 | Zbl 0379.46039

[13] Dineen (S.). - Holomorphic functions and surjective limits, "Proceedings on infinite dimensional holomorphy, University of Kentucky, 1973", p. 1-12. - Berlin, Springer-Verlag, 1974 (Lecture Notes in Mathematics, 364). | MR 54 #11057 | Zbl 0277.46006

[14] Grothendieck (A.). - Produits tensoriels topologiques et espaces nucléaires. - Providence, American mathematical Society, 1955 (Memoirs of the American mathematical Society, 16). | MR 17,763c | Zbl 0064.35501

[15] Horvath (J.). - Topological vector spaces and distributions, Vol. I. - Reading. Addison-Wesley publishing Company, 1966 (Addison-Wesley Series in Mathematics). | MR 34 #4863 | Zbl 0143.15101

[16] Jarchow (H.). - Nuclear locally convex spaces. - [College Park], University of Maryland, Department of Mathematics, 1976 (University of Maryland Lecture Notes, 13). | MR 57 #1066

[17] Katz (G. I.). - Analytic continuation in infinite dimensions and Reinhardt sets, Thesis, University of Rochester, 1974.

[18] Kelly (J. L.). - General topology. - New York, D. Van Nostrand publishing Company, 1955 (University Series in higher Mathematics). | Zbl 0066.16604

[19] Köthe (G.). - Topological vector spaces, Vol. I - Berlin, Springer-Verlag, 1969 (Grundlehren der mathematischen Wissenschaften, 159). | Zbl 0179.17001

[20] Mujica (J.). - Spaces of germs of holomorphic functions, Advances in Mathematics (to appear). | Zbl 0489.46020

[21] Nachbin (L.). - Topology on spaces of holomorphic mappings. - Berlin, Springer-Verlag, 1969 (Ergebnisse der Mathematik, 47). | MR 40 #7787 | Zbl 0172.39902

[22] Noverraz (P.). - Pseudo-convexité, convexité polynomiale et domaines d'holomorphie en dimension infinie. - Amsterdam, North-Holland publishing Company, 1973 (North-Holland Mathematics Studies, 3 ; Notas de Matematicas, 48). | MR 50 #10814 | Zbl 0251.46049

[23] Pietsch (A.). - Nuclear locally convex spaces. 2nd edition. - Berlin, Springer-Verlag, 1972 (Ergebnisse der Mathematik, 66). | MR 50 #2853 | Zbl 0236.46001

[24] Schottenloher (M.). - τω = τ0 for domains in CN (preprint).

[25] Waelbroeck (L.). - The nuclearity of ATT (U), "Infinite dimensional holomorphy and applications [1975. Sao Paulo]", p. 425-435. - Amsterdam, North-Holland publishing Company, 1977 (North-Holland Mathematics Studies, 12 ; Notas de Matematica, 54). | MR 58 #30237 | Zbl 0439.46017