Time-frequency analysis of localization operators for the non-isotropic $n$-dimensional modified Stockwell transform

DOI10.1007/s11868-021-00408-9zbMath1479.44002OpenAlexW3163372367MaRDI QIDQ2045215

Manel Hleili, Khaled Hleili

Publication date: 12 August 2021

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-021-00408-9

zbMATH Keywords

localization operatorsnon-isotropic $n$-dimensional modified Stockwell transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items (4)

Windowed linear canonical transform and its applications to the time-frequency analysis ⋮ Linear canonical Hankel domain based Stockwell transform and associated Heisenberg's uncertainty principle ⋮ A variation of uncertainty principles for the continuous wavelet transform connected with the Riemann-Liouville operator ⋮ Toeplitz operators for Stockwell transform related to the spherical mean operator

Uses Software

• DOST

Cites Work

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• Continuous inversion formulas for multi-dimensional modified Stockwell transforms
• Continuous Stockwell transform: Coherent states and localization operators
• Intermediate spaces and interpolation, the complex method
• Non-isotropic angular Stockwell transform and the associated uncertainty principles

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