The Affine Frame in $p$-adic Analysis

Ming Gen Cui; Huan Min Yao; Huan Ping Liu

doi:10.5802/ambp.178

The Affine Frame in

p

-adic Analysis

Ming Gen Cui ¹ ; Huan Min Yao ² ; Huan Ping Liu ²

¹ Harbin Institute of Technology Department of Mathematics Wen Hua Xi Road Weihai, Shandong P.R. CHINA
² Harbin Normal University Department of Information Science He Xing Road Harbin, Heilongjiang P.R. CHINA

Annales mathématiques Blaise Pascal, Tome 10 (2003) no. 2, pp. 297-303.

Résumé

In this paper, we will introduce the concept of affine frame in wavelet analysis to the field of $p$ -adic number, hence provide new mathematic tools for application of $p$ -adic analysis.

MR Zbl

DOI : 10.5802/ambp.178

Affiliations des auteurs :

Ming Gen Cui ¹ ; Huan Min Yao ² ; Huan Ping Liu ²

@article{AMBP_2003__10_2_297_0,
     author = {Ming Gen Cui and Huan Min Yao and Huan Ping Liu},
     title = {The {Affine} {Frame} in $p$-adic {Analysis}},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {297--303},
     publisher = {Annales math\'ematiques Blaise Pascal},
     volume = {10},
     number = {2},
     year = {2003},
     doi = {10.5802/ambp.178},
     mrnumber = {2031273},
     zbl = {1066.42501},
     language = {en},
     url = {https://ambp.centre-mersenne.org/articles/10.5802/ambp.178/}
}

TY  - JOUR
AU  - Ming Gen Cui
AU  - Huan Min Yao
AU  - Huan Ping Liu
TI  - The Affine Frame in $p$-adic Analysis
JO  - Annales mathématiques Blaise Pascal
PY  - 2003
SP  - 297
EP  - 303
VL  - 10
IS  - 2
PB  - Annales mathématiques Blaise Pascal
UR  - https://ambp.centre-mersenne.org/articles/10.5802/ambp.178/
DO  - 10.5802/ambp.178
LA  - en
ID  - AMBP_2003__10_2_297_0
ER  -

%0 Journal Article
%A Ming Gen Cui
%A Huan Min Yao
%A Huan Ping Liu
%T The Affine Frame in $p$-adic Analysis
%J Annales mathématiques Blaise Pascal
%D 2003
%P 297-303
%V 10
%N 2
%I Annales mathématiques Blaise Pascal
%U https://ambp.centre-mersenne.org/articles/10.5802/ambp.178/
%R 10.5802/ambp.178
%G en
%F AMBP_2003__10_2_297_0

Ming Gen Cui; Huan Min Yao; Huan Ping Liu. The Affine Frame in $p$-adic Analysis. Annales mathématiques Blaise Pascal, Tome 10 (2003) no. 2, pp. 297-303. doi : 10.5802/ambp.178. https://ambp.centre-mersenne.org/articles/10.5802/ambp.178/

Bibliographie
Cité par

[1] M.G. Cui Note on the wavelet transform in the field $Q_{p}$ of p-adic numbers, Appl. and Computational hormonic Analgsis, Volume 13 (2002), pp. 162-168 | DOI | MR | Zbl

[2] I. Daubechies; A. Grossman; Y. Meyer Painless nonorthogonal expansion, J. Math. Phys., Volume 27 (1986), pp. 1271-1283 | DOI | MR | Zbl

[3] E. Ch. Heil; F. Walnut Continuous and discrete Wavelet transforms, SIAM Review, Volume 31 (1989), pp. 628-666 | DOI | MR | Zbl

[4] B. Lian; K. Liu; S.-T. Yau Mirror Principle I, Asian J. Math., Volume 4 (1997), pp. 729-763 | MR | Zbl

[5] S.V Kozyrev Wavelet theory as $p$ -adic spectral analysis, Izv. Russ. Akad. Nauk, Ser. Math., Volume 66 (2002), pp. 149-158 | MR | Zbl

[6] V.S Vladimirov; I.V Volovich; E.I Zelenov p-adic analysis and Mathematical Physics, World Scientific, 38 -112, 1994 | MR | Zbl

Cité par Sources :