Continuous functions on compact subsets of local fields

Manjul Bhargava; Kiran S. Kedlaya

Acta Arithmetica (1999)

  • Volume: 91, Issue: 3, page 191-198
  • ISSN: 0065-1036

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Manjul Bhargava, and Kiran S. Kedlaya. "Continuous functions on compact subsets of local fields." Acta Arithmetica 91.3 (1999): 191-198. <http://eudml.org/doc/207350>.

@article{ManjulBhargava1999,
author = {Manjul Bhargava, Kiran S. Kedlaya},
journal = {Acta Arithmetica},
keywords = {Weierstrass approximation theorem; local fields; polynomial approximation},
language = {eng},
number = {3},
pages = {191-198},
title = {Continuous functions on compact subsets of local fields},
url = {http://eudml.org/doc/207350},
volume = {91},
year = {1999},
}

TY - JOUR
AU - Manjul Bhargava
AU - Kiran S. Kedlaya
TI - Continuous functions on compact subsets of local fields
JO - Acta Arithmetica
PY - 1999
VL - 91
IS - 3
SP - 191
EP - 198
LA - eng
KW - Weierstrass approximation theorem; local fields; polynomial approximation
UR - http://eudml.org/doc/207350
ER -

References

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  1. [1] Y. Amice, Interpolation p-adique, Bull. Soc. Math. France 92 (1964), 117-180. 
  2. [2] M. Bhargava, P-orderings and polynomial functions on arbitrary subsets of Dedekind rings, J. Reine Angew. Math. 490 (1997), 101-127. Zbl0899.13022
  3. [3] J. Dieudonné, Sur les fonctions continues p-adiques, Bull. Sci. Math. 68 (1944), 79-95. Zbl0060.08204
  4. [4] K. Mahler, An interpolation series for a continuous function of a p-adic variable, J. Reine Angew. Math. 199 (1958), 23-34. 
  5. [5] G. Pólya, Über ganzwertige ganze Funktionen, Rend. Circ. Mat. Palermo 40 (1915), 1-16. Zbl45.0655.02
  6. [6] C. Wagner, Interpolation series for continuous functions on π-adic completions of GF(q,x), Acta Arith. 17 (1971), 389-406. 

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