Topological tensor products and asymptotic developments

Jorge Mozo-Fernández

Annales de la Faculté des sciences de Toulouse : Mathématiques (1999)

  • Volume: 8, Issue: 2, page 281-295
  • ISSN: 0240-2963

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Mozo-Fernández, Jorge. "Topological tensor products and asymptotic developments." Annales de la Faculté des sciences de Toulouse : Mathématiques 8.2 (1999): 281-295. <http://eudml.org/doc/73488>.

@article{Mozo1999,
author = {Mozo-Fernández, Jorge},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {space of holomorphic functions of several variables; asymptotic development; nuclear spaces; complete tensor product; space of multisummable series},
language = {eng},
number = {2},
pages = {281-295},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Topological tensor products and asymptotic developments},
url = {http://eudml.org/doc/73488},
volume = {8},
year = {1999},
}

TY - JOUR
AU - Mozo-Fernández, Jorge
TI - Topological tensor products and asymptotic developments
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1999
PB - UNIVERSITE PAUL SABATIER
VL - 8
IS - 2
SP - 281
EP - 295
LA - eng
KW - space of holomorphic functions of several variables; asymptotic development; nuclear spaces; complete tensor product; space of multisummable series
UR - http://eudml.org/doc/73488
ER -

References

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  1. [B] Balser ( W.). — From divergent power series to analytic functions, Springer, Lect. Notes in Math.1582, 1994. Zbl0810.34046MR1317343
  2. [D] Douady ( R.). — Produits tensoriels topologiques et espaces nucléaires, Astérisque16, 1974, I.01-I.25. Zbl0293.32009MR367266
  3. [G] Grothendieck ( A.). — Opérations algébriques sur les distributions à valeurs vectorielle. Théorème de Künneth, Sem. Schwartz24, 1953-54. 
  4. [G1] Grothendieck ( A.). — Produits tensoriels topologiques et espaces nucléaires, Mem. of the Am. Math. Soc.16, 1955. Zbl0123.30301MR75539
  5. [Ha] Haraoka ( Y.). - Theorems of Sibuya-Malgrange type for Gevrey functions of several variables, Funkcial. Ekvac.32 (1989), 365-388. Zbl0689.32001MR1040165
  6. [He] Hernández Isla ( J.). — Desarrollos asintóticos en polisectores. Problemas de existencia y unicidad, Tesis de doctorado, Universidad de Valladolid, 1994. 
  7. [K] Kaup ( L.). — Eine Künnethformel für Fréchetgarben, Math. Z.97, 1967, 158-168. Zbl0191.53701MR216033
  8. [Ko] Komatsu ( H.). - Ultradistributions, I. Structure theorems and a characterization, J. Fac. Sci. Tokyo Section IA, 1973, 25-106. Zbl0258.46039MR320743
  9. [M1] Majima ( H.). — Analogues of Cartan's Decomposition Theorem in Asymptotic Analysis, Funkcial. Ekvac.26 (1983), 131-154. Zbl0533.32001MR736897
  10. [M2] Majima ( H.). — Asymptotic Analysis for Integrable Connections with Irregular Singular Points, Lect. Notes in Math.1075 (1984), Springer-Verlag. Zbl0546.58003MR757897
  11. [M] Malgrange ( B.). - Remarques sur les équations différentielles à points singuliers irréguliers, in Équations différentielles et systèmes de Pfaff dans le champ complexe (R. Gérard and J.P. Ramis, eds.), Springer, Lect. Notes in Math.712 (1979), 77-86. Zbl0423.32014
  12. [Mo] Mozo Fernández ( J.). - Cohomology theorems for asymptotic sheaves, to appear "Tohoku Mathematical Journal". Zbl0959.32018MR1725621
  13. [R] Ramis ( J.P.). - Théorèmes d'indices Gevrey pour les équations différentielles ordinaires, Mem. Am. Math. Soc.296, 1984. Zbl0555.47020MR733946
  14. [T] Tougeron ( J.C.). — Sur les ensembles semi-analytiques avec conditions Gevrey au bord, Ann. Scient. Éc. Norm. Sup., 4e série, t. 27, 1994, 173-208. Zbl0803.32003MR1266469
  15. [Z] Zurro Moro ( M.A.). — Series y funciones Gevrey en varias variables, Tesis de doctorado, Universidad de Valladolid, 1994. 

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