The p-adic measure on the orbit of an element of ℂ p
Alexandru, V. ; Popescu, N. ; Vâjâitu, M. ; Zaharescu, A.
Rendiconti del Seminario Matematico della Università di Padova, Tome 117 (2007), p. 197-216 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{RSMUP_2007__118__197_0,
     author = {Alexandru, Victor and Popescu, N. and V\^aj\^aitu, M. and Zaharescu, A.},
     title = {The $p$-adic measure on the orbit of an element of ${\mathbb {C}}\_p$},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {117},
     year = {2007},
     pages = {197-216},
     mrnumber = {2378396},
     zbl = {1164.11072},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2007__118__197_0}
}

Alexandru, V.; Popescu, N.; Vâjâitu, M.; Zaharescu, A. The $p$-adic measure on the orbit of an element of ${\mathbb {C}}_p$. Rendiconti del Seminario Matematico della Università di Padova, Tome 117 (2007) pp. 197-216. http://gdmltest.u-ga.fr/item/RSMUP_2007__118__197_0/

[A] V. Alexandru, On the transcendence of the trace function, Proceedings of the Romanian Academy, vol. 6, no. 1 (2005), pp. 11-16. | MR 2189188 | Zbl 1114.11062

[APP] V. Alexandru - E.L. Popescu - N. Popescu, On the continuity of the trace, Proceedings of the Romanian Academy, Series A, vol. 5, no. 2 (2004), pp. 117-122. | MR 2122328 | Zbl 1150.11438

[APZ1] V. Alexandru - N. Popescu - A. Zaharescu, On closed subfields of Cp, J. Number Theory, 68, 2 (1998), pp. 131-150. | MR 1605907 | Zbl 0901.11035

[APZ2] V. Alexandru - N. Popescu - A. Zaharescu, Trace on Cp, J. Number Theory, 88, 1 (2001), pp. 13-48. | MR 1825989 | Zbl 0965.11049

[APZ3] V. Alexandru - N. Popescu - A. Zaharescu, A representation theorem for a class of rigid analytic functions, Journal de Theories des Nombres de Bordeaux, 15 (2003), pp. 639-650. | Numdam | MR 2142227 | Zbl 1070.11053

[Ar] E. Artin, Algebraic Numbers and Algebraic Functions, Gordon and Breach, N.Y. 1967. | MR 237460 | Zbl 0194.35301

[B] D. Barsky, Transformation de Cauchy p-adique et algebre d'Iwasawa, Math. Ann., 232 (1978), pp. 255-266. | MR 476705 | Zbl 0352.12014

[Br] F. Bruhat, Integration p-adique, Seminaire Bourbaki, 14e annee, 1961/62, no. 229. | Numdam | Zbl 0116.33001

[FV] J. Fresnel - M. Van Der Put, Geometrie Analitique Rigide et Applications, Birkhauser, Basel, 1981. | MR 644799 | Zbl 0479.14015

[Ka] N. M. Katz, p-adic L-functions for CM-fields, Invent. Math., 48 (1978), pp. 199-297. | MR 513095 | Zbl 0417.12003

[R] W. Rudin, Functional Analysis, Mc. Graw Hill Book Company, N.Y., 1973. | MR 365062 | Zbl 0253.46001

[Sch] W. H. Schikhof, Ultrametric calculus. An introduction to p-adic Analysis, Cambridge Univ. Press, Cambridge, U.K., 1984. | MR 791759 | Zbl 0553.26006

[VZ] M. Vâjâitu - A. Zaharescu, Lipschitzian Distributions, to appear in Rev. Roumaine Math. Pures Appl. | MR 2449190 | Zbl pre05509960