WIAS Preprint No. 1104, (2006)

Potentials of Gaussians and approximate wavelets


  • Maz'ya, Vladimir
  • Schmidt, Gunther

2010 Mathematics Subject Classification

  • 41A55 41A63 65D30


  • Multidimensional cubature, wavelets, harmonic, diffraction, elastic, hydrodynamic potentials


We derive new formulas for harmonic, diffraction, elastic, and hydrodynamic potentials acting on anisotropic Gaussians and approximate wavelets. These formulas can be used to construct accurate cubature formulas for these potentials.

Appeared in

  • Math. Nachr., 280 (2007) pp. 1176--1189.

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