CALDERON-REPRODUCING FORMULA FOR THE CONTINUOUS WAVELET TRANSFORM RELATED TO THE WEINSTEIN OPERATOR

被引：0

作者：

Hleili, Khaled ^{[1
]}

Hleili, Manel ^{[2
]}

机构：

[1] Northern Border Univ, Fac Sci, Dept Math, Ar Ar, Saudi Arabia

[2] Univ Tunis El Manar, Fac Sci Tunis, Tunis, Tunisia

来源：

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 10卷 / 04期

关键词：

Weinstein operator; wavelet transform; inversion formulas; extremal functions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the continuous wavelet transform associated with the Weinstein operator and we prove for this transform a reproducing inversion formulas of Calderon's type. Next, we study the extremal functions associated to the continuous wavelet transform.

引用

页码：31 / 44

页数：14

共 19 条

[11] THE WEIERSTRASS TRANSFORM AND AN ISOMETRY IN THE HEAT-EQUATION [J].

SAITOH, S .

APPLICABLE ANALYSIS, 1983, 16 (01) :1-6

[12] HILBERT-SPACES INDUCED BY HILBERT-SPACE VALUED FUNCTIONS [J].

SAITOH, S .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 89 (01) :74-78

[13]

Saitoh S., 2005, KODAI MATH J, V28, P359, DOI [10.2996/kmj/1123767016, DOI 10.2996/KMJ/1123767016]

[14]

Saitoh S., 2004, APPL ANAL, V83, P727, DOI [10.1080/00036810410001657198, DOI 10.1080/00036810410001657198]

[15]

Soltani F., 2005, APPL ANAL, V84, P541, DOI [10.1080/00036810410001731492, DOI 10.1080/00036810410001731492]

[16] BEST APPROXIMATION FORMULAS FOR THE DUNKL L2-MULTIPLIER OPERATORS ON Rd [J].

Soltani, Fethi .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2012, 42 (01) :305-328

[17]

Stein E., 1971, INTRO FOURIER ANAL E

[18]

Stein E. M., 1956, T AM MATH SOC, V83, P482

[19]

Weinstein A., 1962, PROCEEDING S FLUID D, V67, P29

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