Distributional Wavelet Transform

被引：10

作者：

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

Singh, Abhishek ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES | 2016年 / 86卷 / 02期

关键词：

Integral transform; Wavelet transform; Distribution space; Generalized functions;

D O I：

10.1007/s40010-015-0225-1

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we define the wavelet transform for a class of distributions in G(alpha,beta)'(R). The corresponding inversion formula is established by interpreting convergence in the weak distributional sense.

引用

页码：273 / 277

页数：5

共 12 条

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[2]

[Anonymous], FRIENDLY GUIDE WAVEL

[3]

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[4]

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Pathak, R. S. ;

Singh, S. K. .

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[6]

Pathak R.S., 2009, WAVELET TRANSFORM, V4

[7]

Pathak R.S., 1997, INTEGRAL TRANSFORM G

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Pathak, RS .

TOHOKU MATHEMATICAL JOURNAL, 2004, 56 (03) :411-421

[9]

Pathak RS, 2014, PREPRINT

[10]

Rainville E. D., 1960, Special Functions

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