Properties of the affine Poincaré wavelet transform

DOI10.1007/S10958-023-06863-7OpenAlexW4390009035MaRDI QIDQ6145434

E. A. Gorodnitskiy

Publication date: 2 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06863-7

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Analysis on other specific Lie groups (43A80)

Cites Work

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• The space-time ray method and quasiphotons
• A coordinate system for describing quasiphoton
• A new method of computing wave fields in the high-frequency approximation
• Justification of a wavelet-based integral formula for solutions of the wave equation
• Highly localized solutions of the wave equation
• Integral representations of solutions of the wave equation based on relativistic wavelets
• New physical wavelet ‘Gaussian wave packet’
• Wavelet-based integral representation for solutions of the wave equation

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