On the Ward Theorem for 𝒫 -adic-path bases associated with a bounded sequence

F. Tulone

Mathematica Bohemica (2004)

  • Volume: 129, Issue: 3, page 313-323
  • ISSN: 0862-7959

Abstract

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In this paper we prove that each differentiation basis associated with a 𝒫 -adic path system defined by a bounded sequence satisfies the Ward Theorem.

How to cite

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Tulone, F.. "On the Ward Theorem for $\mathcal {P}$-adic-path bases associated with a bounded sequence." Mathematica Bohemica 129.3 (2004): 313-323. <http://eudml.org/doc/249406>.

@article{Tulone2004,
abstract = {In this paper we prove that each differentiation basis associated with a $\mathcal \{P\}$-adic path system defined by a bounded sequence satisfies the Ward Theorem.},
author = {Tulone, F.},
journal = {Mathematica Bohemica},
keywords = {$\mathcal \{P\}$-adic system; differentiation basis; variational measure; Ward Theorem; -adic system; differentiation basis; variational measure; Ward theorem},
language = {eng},
number = {3},
pages = {313-323},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the Ward Theorem for $\mathcal \{P\}$-adic-path bases associated with a bounded sequence},
url = {http://eudml.org/doc/249406},
volume = {129},
year = {2004},
}

TY - JOUR
AU - Tulone, F.
TI - On the Ward Theorem for $\mathcal {P}$-adic-path bases associated with a bounded sequence
JO - Mathematica Bohemica
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 129
IS - 3
SP - 313
EP - 323
AB - In this paper we prove that each differentiation basis associated with a $\mathcal {P}$-adic path system defined by a bounded sequence satisfies the Ward Theorem.
LA - eng
KW - $\mathcal {P}$-adic system; differentiation basis; variational measure; Ward Theorem; -adic system; differentiation basis; variational measure; Ward theorem
UR - http://eudml.org/doc/249406
ER -

References

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  4. 10.2307/44152493, Real Anal. Exch. 20 (1994–95), 340–346. (1994–95) MR1313697DOI10.2307/44152493
  5. Walsh Series and Transforms: Theory and Applications, Nauka, Moskva, 1987. (Russian) (1987) MR0925004
  6. Generalized integrals in the theory of series with respect to multiplicative systems and Haar type system, Thesis, Moscow State University. 
  7. Theory of Integral, Dover, New York, 1937. (1937) MR0167578
  8. 10.2307/44153004, Real Anal. Exch. 24 (1998–99), 845–854. (1998–99) MR1704758DOI10.2307/44153004

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