Some uncertainty inequalities for the continuous wavelet transform

被引：0

作者：

Fatima Alhajji

Saifallah Ghobber

机构：

[1] King Faisal University,Department of Mathematics and Statistics, College of Science

[2] Université de Tunis El Manar,LR11ES11 Analyse Mathématiques et Applications, Faculté des Sciences de Tunis

来源：

Journal of Pseudo-Differential Operators and Applications | 2021年 / 12卷

关键词：

Wavelet transform; Affine group; Heisenberg uncertainty inequality; Pitt’s inequality; Beckner’s inequality; Uncertainty principle; Sobolev’s inequality; 94A12; 45P05; 42C25; 42C40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The main objective of this paper is to prove some uncertainty inequalities for the continuous wavelet transform in the multidimensional setting.

引用

共 50 条

[1] Some uncertainty inequalities for the continuous wavelet transform
Alhajji, Fatima
Ghobber, Saifallah
[J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2021, 12 (02)
[2] Uncertainty inequalities for the continuous wavelet transform
Singer, P
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (03) : 1039 - 1042
[3] Uncertainty principles for the continuous Hankel Wavelet transform
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[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2016, 27 (06) : 413 - 429
[4] Existence of uncertainty minimizers for the continuous wavelet transform
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[5] Uncertainty Principles for the Continuous Dunkl Gabor Transform and the Dunkl Continuous Wavelet Transform
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[6] Uncertainty Principles for the Continuous Dunkl Gabor Transform and the Dunkl Continuous Wavelet Transform
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[8] Heisenberg-type uncertainty inequalities for the Dunkl wavelet transform
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[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023, 54 (01): : 224 - 240
[9] Heisenberg-type uncertainty inequalities for the Dunkl wavelet transform
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[J]. Indian Journal of Pure and Applied Mathematics, 2023, 54 : 224 - 240
[10] Uncertainty principles for the continuous Kontorovich Lebedev wavelet transform
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