| Title:
|
On the Ward Theorem for $\mathcal{P}$-adic-path bases associated with a bounded sequence (English) |
| Author:
|
Tulone, F. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
129 |
| Issue:
|
3 |
| Year:
|
2004 |
| Pages:
|
313-323 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
$\mathcal{P}$-adic system |
| Keyword:
|
differentiation basis |
| Keyword:
|
variational measure |
| Keyword:
|
Ward Theorem |
| MSC:
|
26A39 |
| MSC:
|
26A42 |
| MSC:
|
26A45 |
| MSC:
|
28A12 |
| idZBL:
|
Zbl 1080.26008 |
| idMR:
|
MR2092717 |
| DOI:
|
10.21136/MB.2004.134152 |
| . |
| Date available:
|
2009-09-24T22:15:35Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134152 |
| . |
| Reference:
|
[1] Bongiorno, B., Di Piazza, L., Skvortsov, A. V.: The essential variation of a function and some convergence theorems.Anal. Math. 22 (1996), 3–12. MR 1384345, 10.1007/BF02342334 |
| Reference:
|
[2] Bongiorno, B., Di Piazza, L., Skvortsov, A. V.: On variational measures related to some bases.J. Math. Anal. Appl. 250 (2000), 533–547. MR 1786079, 10.1006/jmaa.2000.6983 |
| Reference:
|
[3] Bongiorno, B., Di Piazza, L., Skvortsov, A. V.: On dyadic integrals and some other integrals associated with local systems.J. Math. Anal. Appl. 271 (2002), 506–524. MR 1923649, 10.1016/S0022-247X(02)00146-4 |
| Reference:
|
[4] Fu, Sh.: Path Integral: An inversion of path derivatives.Real Anal. Exch. 20 (1994–95), 340–346. MR 1313697, 10.2307/44152493 |
| Reference:
|
[5] Golubov, B., Efimov, A., Skvortsov, A. V.: Walsh Series and Transforms: Theory and Applications.Nauka, Moskva, 1987. (Russian) MR 0925004 |
| Reference:
|
[6] Koroleva, M.: Generalized integrals in the theory of series with respect to multiplicative systems and Haar type system.Thesis, Moscow State University. |
| Reference:
|
[7] Saks, S.: Theory of Integral.Dover, New York, 1937. MR 0167578 |
| Reference:
|
[8] Thomson, B. S.: Some propriety of variational measure.Real Anal. Exch. 24 (1998–99), 845–854. MR 1704758, 10.2307/44153004 |
| . |
