Decomposition of Solutions of the Wave Equation into Poincaré Wavelets

DOI10.1007/978-3-030-16077-7_27zbMath1458.35123OpenAlexW2963920235MaRDI QIDQ3294846

Maria V. Perel, E. A. Gorodnitskiy

Publication date: 29 June 2020

Published in: Integral Methods in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-16077-7_27

zbMATH Keywords

affine Poincaré continuous wavelet analysis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral representations of solutions to PDEs (35C15) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The space-time ray method and quasiphotons
• 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’
• Multiscale Investigation of Solutions of the Wave Equation
• Wavelet-based integral representation for solutions of the wave equation

This page was built for publication: Decomposition of Solutions of the Wave Equation into Poincaré Wavelets