Weyl-Heisenberg frame in -adic analysis
Minggen Cui[1]; Xueqin Lv[2]
- [1] Harbin Institute of Technology Department of Mathematics WEN HUA XI ROAD WEIHAI Shan Dong, 264209 P.R.China
- [2] Harbin Normal University Department of Information Science HE XING ROAD Harbin HeiLongJiang, 150001 P.R.China
Annales mathématiques Blaise Pascal (2005)
- Volume: 12, Issue: 1, page 195-203
- ISSN: 1259-1734
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topCui, Minggen, and Lv, Xueqin. "Weyl-Heisenberg frame in $p$-adic analysis." Annales mathématiques Blaise Pascal 12.1 (2005): 195-203. <http://eudml.org/doc/10511>.
@article{Cui2005,
abstract = {In this paper, we establish an one-to-one mapping between complex-valued functions defined on $\{R^+\}\cup \lbrace 0\rbrace $ and complex-valued functions defined on $p$-adic number field $Q_p$, and introduce the definition and method of Weyl-Heisenberg frame on hormonic analysis to $p$-adic anylysis.},
affiliation = {Harbin Institute of Technology Department of Mathematics WEN HUA XI ROAD WEIHAI Shan Dong, 264209 P.R.China; Harbin Normal University Department of Information Science HE XING ROAD Harbin HeiLongJiang, 150001 P.R.China},
author = {Cui, Minggen, Lv, Xueqin},
journal = {Annales mathématiques Blaise Pascal},
language = {eng},
month = {1},
number = {1},
pages = {195-203},
publisher = {Annales mathématiques Blaise Pascal},
title = {Weyl-Heisenberg frame in $p$-adic analysis},
url = {http://eudml.org/doc/10511},
volume = {12},
year = {2005},
}
TY - JOUR
AU - Cui, Minggen
AU - Lv, Xueqin
TI - Weyl-Heisenberg frame in $p$-adic analysis
JO - Annales mathématiques Blaise Pascal
DA - 2005/1//
PB - Annales mathématiques Blaise Pascal
VL - 12
IS - 1
SP - 195
EP - 203
AB - In this paper, we establish an one-to-one mapping between complex-valued functions defined on ${R^+}\cup \lbrace 0\rbrace $ and complex-valued functions defined on $p$-adic number field $Q_p$, and introduce the definition and method of Weyl-Heisenberg frame on hormonic analysis to $p$-adic anylysis.
LA - eng
UR - http://eudml.org/doc/10511
ER -
References
top- MingGen Cui, GuangHong Gao, On the wavelet transform in the field of p-adic Numbers, Applied and Computational Hormonic Analysis 13 (2002), 162-168 Zbl1022.42025MR1942750
- MingGen Cui, YanYing Zhang, The Heisenberg Uncertainty Relation In Harmonic Analysis On p-adic Numbers Field Zbl1160.42321
- HuanMin Yao MingGen Cui, HuanPing Liu, The Affine Frame In -adic Analysis, Annales Mathématiques Blaise Pascal 10 (2003), 297-303 Zbl1066.42501MR2031273
- S.V Kozyrev, Wavelet theory as p-adic spectral analysis, Izv.Russ.Akad.Nauk,Ser 2 (2002), 149-158 Zbl1016.42025MR1918846
- V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, -adic Analysis and Mathematical Physics, (1994), World Scientific Zbl0812.46076MR1288093
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