Quantitative uncertainty principles associated with the directional short-time Fourier transform

被引：1

作者：

Mejjaoli, Hatem ^{[1
]}

Omri, Slim ^{[2
]}

机构：

[1] Taibah Univ, Dept Math, Coll Sci, POB 30002, Al Madinah Al Munawarah, Saudi Arabia

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

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2021年 / 32卷 / 10期

关键词：

Directional short-time Fourier transform; directional radar ambiguity function; inversion theorem; Heisenberg' s type uncertainty principles; local uncertainty principles; INEQUALITIES;

D O I：

10.1080/10652469.2020.1843166

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the directional short-time Fourier transform for which we prove a new inversion formula. We also prove for this transform several uncertainty principles as Heisenberg inequalities, Faris-Price uncertainty principles and local uncertainty principles.

引用

页码：753 / 779

页数：27

共 50 条

[11] Directional Short-Time Fourier Transform of Ultradistributions
Sanja Atanasova
Snježana Maksimović
Stevan Pilipović
Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44 : 3069 - 3087
[12] Uncertainty principles for the Fourier and the short-time Fourier transforms
Poria, Anirudha
JOURNAL OF MATHEMATICAL PHYSICS, 2021, 62 (11)
[13] Toeplitz operators associated with the directional short-time Fourier transform and applications
Ghobber, Saifallah
Mejjaoli, Hatem
Omri, Slim
AFRIKA MATEMATIKA, 2025, 36 (01)
[14] Directional Short-Time Fourier Transform and Quasiasymptotics of Distributions
Buralieva, J. V.
Saneva, K.
Atanasova, S.
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2019, 53 (01) : 3 - 10
[15] The directional short-time fractional Fourier transform of distributions
Ferizi, Astrit
Hadzi-Velkova Saneva, Katerina
Maksimovic, Snjezana
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2024, 15 (03)
[16] Directional Short-Time Fourier Transform and Quasiasymptotics of Distributions
J. V. Buralieva
K. Saneva
S. Atanasova
Functional Analysis and Its Applications, 2019, 53 : 3 - 10
[17] Short-time free metaplectic transform: Its relation to short-time Fourier transform in L2(Rn) and uncertainty principles
Dar, Aamir H.
Zayed, Mohra
Bhat, M. Younus
AIMS MATHEMATICS, 2023, 8 (12): : 28951 - 28975
[18] QUANTITATIVE UNCERTAINTY PRINCIPLES FOR THE SHORT TIME FOURIER TRANSFORM AND THE RADAR AMBIGUITY FUNCTION
Lamouchi, H.
Omri, S.
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2017, 48 (01): : 147 - 161
[19] Quantitative uncertainty principles for the short time Fourier transform and the radar ambiguity function
H. Lamouchi
S. Omri
Indian Journal of Pure and Applied Mathematics, 2017, 48 : 147 - 161
[20] Time-frequency concentration and localization operators associated with the directional short-time fourier transform
Ghobber, Saifallah
Mejjaoli, Hatem
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2022, 13 (03)

← 1 2 3 4 5 →