VARIATION-DIMINISHING WAVELETS AND WAVELET TRANSFORMS

被引：0

作者：

Pathak, R. S. ^{[1
]}

机构：

[1] Banaras Hindu Univ, Ctr Interdisciplinary Math Sci, Varanasi 221005, Uttar Pradesh, India

来源：

REAL ANALYSIS EXCHANGE | 2011年 / 37卷 / 01期

关键词：

variation diminishing transforms; wavelets; wavelet transform; inversion of the wavelet transform; wavelets generated by H-function;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Schoenberg's theory of variation-diminishing integral operators of convolution type variation diminishing wavelets and wavelets of specific changes in sign are constructed. An inversion formula involving derivatives of the wavelet transform is established. Wavelets generated by Tanno's form of convolution kernels and H-functions are also investigated. Results are illustrated by means of examples and figures.

引用

页码：147 / 165

页数：19

共 50 条

[31] Inversion of radon transforms using wavelet transforms generated by wavelet measures
Rubin, B
MATHEMATICA SCANDINAVICA, 1999, 85 (02) : 285 - 300
[32] VARIATION DIMINISHING TRANSFORMATIONS
HAIMO, DT
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1964, 70 (02) : 271 - &
[33] Coapproximation Wavelet Using Hermite Wavelets and Haar Wavelets
Mazaheri, H.
Kalantari, M.
Jesmani, S. M.
IRANIAN JOURNAL OF SCIENCE, 2025, 49 (02) : 505 - 510
[34] Extended wavelet transforms
Aniello, Paolo
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2006, 3 (03) : 341 - 373
[35] Continuous wavelet transforms
Shi, YH
Ruan, QQ
2004 7TH INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING PROCEEDINGS, VOLS 1-3, 2004, : 207 - 210
[36] WAVELET TRANSFORMS - AN INTRODUCTION
BENTLEY, PM
MCDONNELL, JTE
ELECTRONICS & COMMUNICATION ENGINEERING JOURNAL, 1994, 6 (04): : 175 - 186
[37] Laguerre wavelet transforms
Pathak, R. S.
Pandey, C. P.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2009, 20 (07) : 505 - 518
[38] ADAPTIVE WAVELET TRANSFORMS
SZU, HH
OPTICAL ENGINEERING, 1994, 33 (07) : 2103 - 2103
[39] Introduction to Wavelet Transforms
Shea, John J.
IEEE ELECTRICAL INSULATION MAGAZINE, 2020, 36 (06) : 65 - 66
[40] WAVELET TRANSFORMS AND THEIR RELATIVES
CAULFIELD, HJ
PHOTONICS SPECTRA, 1992, 26 (08) : 73 - 73

← 1 2 3 4 5 →