Weyl-Heisenberg frame in p -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

Abstract

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In this paper, we establish an one-to-one mapping between complex-valued functions defined on R + { 0 } 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.

How to cite

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Cui, 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

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  1. MingGen Cui, GuangHong Gao, On the wavelet transform in the field p of p-adic Numbers, Applied and Computational Hormonic Analysis 13 (2002), 162-168 Zbl1022.42025MR1942750
  2. MingGen Cui, YanYing Zhang, The Heisenberg Uncertainty Relation In Harmonic Analysis On p-adic Numbers Field Zbl1160.42321
  3. HuanMin Yao MingGen Cui, HuanPing Liu, The Affine Frame In p -adic Analysis, Annales Mathématiques Blaise Pascal 10 (2003), 297-303 Zbl1066.42501MR2031273
  4. S.V Kozyrev, Wavelet theory as p-adic spectral analysis, Izv.Russ.Akad.Nauk,Ser 2 (2002), 149-158 Zbl1016.42025MR1918846
  5. V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, p -adic Analysis and Mathematical Physics, (1994), World Scientific Zbl0812.46076MR1288093

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