Calderón type reproducing formula for the Weinstein-Stockwell transform

DOI10.1007/s12215-023-00906-3MaRDI QIDQ6185755

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Publication date: 30 January 2024

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

Calderón reproducing formulaWeinstein operatorWeinstein-Stockwell transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) General integral transforms (44A05)

Cites Work

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• Wavelet transforms and localization operators
• A variation of \(L^p\) uncertainty principles in Weinstein setting
• Weinstein-Sobolev spaces of exponential type and applications
• Time-scale localization operators in the Weinstein setting
• On the Weinstein-Wigner transform and Weinstein-Weyl transform
• Uncertainty principles for the Hankel-Stockwell transform
• Boundedness and compactness of localization operators for Weinstein-Wigner transform
• Transmutations, singular and fractional differential equations with applications to mathematical physics
• Generalized Weinstein Sobolev-Gevrey spaces and pseudo-differential operators
• Schatten–von Neumann norm inequalities for two-wavelet localization operators associated with β-Stockwell transforms
• Calderón’s reproducing formulas for the Weinstein L2-multiplier operators
• Two-wavelet theory in Weinstein setting
• Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets
• Continuous and discrete inversion formulas for the Stockwell transform

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