Fractional Wavelet Packet Transformations Involving Hankel-Clifford Integral Transformations

被引：2

作者：

Prasad, Akhilesh ^{[1
]}

Kumar, Sumant ^{[1
]}

机构：

[1] Indian Sch Mines, Dept Appl Math, Dhanbad 826004, Bihar, India

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2016年 / 32卷 / 07期

关键词：

Wavelet packet transformation; fractional Hankel-Clifford integral transformation; fractional Hankel-Clifford integral convolution; wavelet;

D O I：

10.1007/s10114-016-5523-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the fractional wavelet transformations (FrWT) involving Hankel-Clifford integral transformation (HClIT) on the positive half line and studied some of its basic properties. Also we obtain Parseval's relation and an inversion formula. Examples of fractional powers of Hankel-Clifford integral transformation (FrHClIT) and FrWT are given. Then, we introduce the concept of fractional wavelet packet transformations FrBWPT and FrWPIT, and investigate their properties.

引用

页码：783 / 796

页数：14

共 47 条

[1] Fractional wavelet packet transformations involving Hankel–Clifford integral transformations
Akhilesh Prasad
Sumant Kumar
[J]. Acta Mathematica Sinica, English Series, 2016, 32 : 783 - 796
[2] Fractional Wavelet Packet Transformations Involving Hankel–Clifford Integral Transformations
Akhilesh PRASAD
Sumant KUMAR
[J]. Acta Mathematica Sinica., 2016, 32 (07) - 796
[3] Fractional Wavelet Packet Transformations Involving Hankel–Clifford Integral Transformations
Akhilesh PRASAD
Sumant KUMAR
[J]. Acta Mathematica Sinica,English Series, 2016, (07) : 783 - 796
[4] Composition of pseudodifferential operators associated with fractional Hankel-Clifford integral transformations
Prasad, Akhilesh
Kumar, Praveen
[J]. APPLICABLE ANALYSIS, 2016, 95 (08) : 1792 - 1807
[5] A Pair of Fractional Powers of Hankel-Clifford Transformations of Arbitrary Order
Prasad, A.
Kumar, S.
[J]. FILOMAT, 2016, 30 (12) : 3303 - 3316
[6] A PAIR OF GENERALIZED HANKEL-CLIFFORD TRANSFORMATIONS AND THEIR APPLICATIONS
PEREZ, JMRM
ROBAYNA, MMS
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 154 (02) : 543 - 557
[7] Two variants of fractional powers of Hankel-Clifford transformations and pseudo-differential operators
Prasad, Akhilesh
Kumar, Sumant
[J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2014, 5 (03) : 411 - 454
[8] CONTINUOUS FRACTIONAL GENERALIZED HANKEL-CLIFFORD TRANSFORMATION
Gorty, V. R. Lakshmi
[J]. JOURNAL OF SCIENCE AND ARTS, 2015, (01): : 55 - 72
[9] Hankel-Clifford transformations on some ultradifferentiable function spaces and pseudo-differential operators
Prasad, Akhilesh
Kumar, Sumant
[J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2013, 4 (04) : 551 - 567
[10] The distributional continuous fractional generalized Hankel-Clifford transformation
Gorty V.R.L.
[J]. The Journal of Analysis, 2017, 25 (1) : 55 - 64

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