EAN: 9783110481099

WAVELET ANALYSIS ON THE SPHERE - SABRINE ARFAOU...

This monograph is concerned with 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. ContentsReview of orthogonal polynomialsHomogenous polynomials and
spherical harmonicsReview of special functionsSpheroidal-type wavelets Some applicationsSome
applications

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