The equation y ' = f y in ℂ p when f is quasi-invertible

Alain Escassut

Rendiconti del Seminario Matematico della Università di Padova (1991)

  • Volume: 86, page 17-27
  • ISSN: 0041-8994

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Escassut, Alain. "The equation $y^{\prime } = fy$ in $\mathbb {C}_p$ when $f$ is quasi-invertible." Rendiconti del Seminario Matematico della Università di Padova 86 (1991): 17-27. <http://eudml.org/doc/108232>.

@article{Escassut1991,
author = {Escassut, Alain},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {algebraically closed, complete, non-archimedean valued field; Banach algebra of analytic elements; p-adic differential equation; infraconnected sets; -filters},
language = {eng},
pages = {17-27},
publisher = {Seminario Matematico of the University of Padua},
title = {The equation $y^\{\prime \} = fy$ in $\mathbb \{C\}_p$ when $f$ is quasi-invertible},
url = {http://eudml.org/doc/108232},
volume = {86},
year = {1991},
}

TY - JOUR
AU - Escassut, Alain
TI - The equation $y^{\prime } = fy$ in $\mathbb {C}_p$ when $f$ is quasi-invertible
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1991
PB - Seminario Matematico of the University of Padua
VL - 86
SP - 17
EP - 27
LA - eng
KW - algebraically closed, complete, non-archimedean valued field; Banach algebra of analytic elements; p-adic differential equation; infraconnected sets; -filters
UR - http://eudml.org/doc/108232
ER -

References

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  2. [D] Dwork B., Lectures on p-Adic Differential Equations, Springer-Verlag, New York-Heidelberg- Berlin. Zbl0502.12021MR678093
  3. [E1] Escassut A., Algèbres de Krasner, C.R.A.S. Paris, 272 (1971), pp. 598-601. Zbl0221.46043MR279586
  4. [E2] Escassut A., Algèbres d'éléments analytiques en analyse non archimédienne, Indagationes Mathematicae, 36 (1974), pp. 339-351. Zbl0289.12112MR374471
  5. [E3] Escassut A., Eléments analytiques et filtres percés sur un ensemble infraconnexe, Ann. Mat. Pura Appl. Bologna, 110 (1976), pp. 335-352. Zbl0336.12103MR425175
  6. [E4] Escassut A., T-filtres, ensembles analytiques et transformations de Fourier p-adique, Ann. Inst. Fourier, Grenoble, 25 (1975), pp. 45-80. Zbl0302.43012MR390285
  7. [E 5] Escassut A., Algèbres de Krasner intègres et noethériennes, Proceedings Koninklijke Nederlandse Akademie van Wetenschappen, Series A, 78, no. 4 (1976), pp. 109-130. Zbl0324.46052MR407609
  8. [E 6] Escassut A., Derivative of Analytic Elements on Infraconnected Clopen Sets, Proceedings of Koninklijke Nederlandse Akademie van Wetenschappen, Series A, 92, no. 1 (1989), pp. 63-70. Zbl0719.32015MR993679
  9. [E7] Escassut A. - Sarmant M.C., The differential equation y' = fy in the algebras H(D), Collectanea Mathematica, 39, no. 1 (1988), pp. 31-40. Zbl0727.12012MR1009247
  10. [E8] Escassut A. - Sarmant M.C., The equation y' = fy in zero residue characteristic, Glasgow Mathematical Journal, 33 (1991) p. 149-153. Zbl0731.12005MR1108738
  11. [E9] Escassut A., The equation y' = fy in CD when f is not quasi-invertible, Revista di Matematica Pura ed Applicata, no. 6 (1990), pp. 81-92. Zbl0715.12003MR1074364
  12. [G] Garandel G., Les semi-normes multiplicatives sur les algèbres d'éléments analytiques au sens de Krasner, Indagationes Mathematicae, 37, no. 4 (1975), pp. 327-341. Zbl0309.12101MR390286
  13. [K 1] Krasner M., Prolongement analytique dans les corps valués complets: préservation de l'analyticité par la convergence uniforme et par la dérivation ; théorème de Mittag-Leffler généralisé pour les éléments analytiques, C.R.A.S.Paris, 244 (1957), pp. 2570-2573. Zbl0090.02705MR87697
  14. [K 2] Krasner M., Prolongement analytique uniforme et multiforme dans le corps valués complets. Les tendances géométriques en algébre et théorie des nombres, Clermont-Ferrand1964, pp. 97-141. Centre Nationale de la Recherche Scientifique (1966) (Colloques internationaux du C.N.R.S., Paris, 143). Zbl0139.26202MR204404
  15. [R] Robba PH., Fonctions analytiques sur les corps valués ultramétriques complets, Prolongement analytique et algèbres de Banach ultramétriques, Astérisque, 10 (1973), pp. 109-220. Zbl0289.12110MR357841
  16. [S1] Sarmant M.C. - Escassut A., T-suites idempotentes, Bulletin de Sciences Mathématiques, 106, no. 3 (1982), pp. 189-303. Zbl0498.12030MR680275
  17. [S2] Sarmant M.C., Décomposition en produit de facteurs de fonctions méromorphes, C.R.A.S., 292 (1981), pp. 127-130. Zbl0468.30039MR610301
  18. [S3] Sarmant M.C., Produits méromorphes, Bulletin des Sciences Mathématiques, 109 (1985), pp. 155-178. Zbl0564.12024MR802531
  19. [S4] Sarmant M.C. - Escassut A., Prolongement analytique à travers un T-filtre, Studia Scientiarum Mathematicarum Hungarica, 22 (1987), pp. 407-444. Zbl0596.32007MR932229
  20. [S5] Sarmant M.C. - Escassut A., Fonctions analytiques et produits croulants, Collectanea Mathematica, 36 (1985), pp. 199-218. Zbl0605.30046MR853399

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