Wavelet Analysis on the Sphere : Spheroidal Wavelets
Mabrouk, Anouar Ben
Wavelet Analysis on the Sphere : Spheroidal Wavelets - De Gruyter 2017
Open Access
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.
Creative Commons
English
/doi.org/10.1515/9783110481884 9783110481884
https://doi.org/10.1515/9783110481884 doi
Calculus & mathematical analysis
Mathematics Mathematical Analysis
Wavelet Analysis on the Sphere : Spheroidal Wavelets - De Gruyter 2017
Open Access
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.
Creative Commons
English
/doi.org/10.1515/9783110481884 9783110481884
https://doi.org/10.1515/9783110481884 doi
Calculus & mathematical analysis
Mathematics Mathematical Analysis