Localization operators of the wavelet transform associated to the Riemann-Liouville operator

被引：9

作者：

Baccar, C. ^{[1
]}

Hamadi, N. B. ^{[2
]}

机构：

[1] Higher Inst Informat El Manar, Dept Appl Math, 2 Rue Abou Raihan El Bayrouni, Ariana 2080, Tunisia

[2] Preparatory Inst Engn Studies El Manar, Dept Math, El Manar 2, Tunis 2092, Tunisia

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2016年 / 27卷 / 04期

关键词：

Riemann-Liouville operator; Fourier transform; continuous wavelet transform; localization operator; Schatten class operators; TIME-FREQUENCY LOCALIZATION; INVERSION;

D O I：

10.1142/S0129167X16500361

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the continuous wavelet transform T-psi associated with the Riemann-Liouville operator. Next, we investigate the localization operators for T-psi; in particular we prove that they are in the Schatten-von Neumann class.

引用

页数：20

共 32 条

[1] BECKNER LOGARITHMIC UNCERTAINTY PRINCIPLE FOR THE RIEMANN-LIOUVILLE OPERATOR [J].

Amri, Besma ;

Rachdi, Lakhdar T. .

INTERNATIONAL JOURNAL OF MATHEMATICS, 2013, 24 (09)

[2] ON THE DETERMINATION OF A FUNCTION FROM SPHERICAL AVERAGES [J].

ANDERSSON, LE .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1988, 19 (01) :214-232

[3]

[Anonymous], 1995, HARMONIC ANAL PROBAB

[4]

[Anonymous], INT J MATH MATH SCI

[5]

[Anonymous], 2001, Foundations of Time-Frequency Analysis, DOI DOI 10.1007/978-1-4612-0003-1

[6]

[Anonymous], WAVELET TRANSFORMS L

[7]

[Anonymous], D3043032 FOA NAT DEF

[8]

[Anonymous], 2008, J INEQUAL PURE APPL

[9]

[Anonymous], J GEOM ANAL

[10]

[Anonymous], INT J MATH SCI

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