Wavelet Analysis on the Sphere: Spheroidal Wavelets

by Sabrine Arfaoui, Imen Rezgui, and Anouar Ben Mabrouk

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The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials.
  • ISBN10 311048188X
  • ISBN13 9783110481884
  • Publish Date 20 March 2017
  • Publish Status Active
  • Publish Country DE
  • Imprint De Gruyter