Translated origin spherical cap harmonic analysis
نویسندگان
چکیده
منابع مشابه
Spherical harmonic projectors
The harmonic projection (HP), which is implicit in the numerous harmonic transforms between physical and spectral spaces, is responsible for the reliability of the spectral method for modeling geophysical phenomena. As currently configured, the HP consists of a forward transform from physical to spectral space (harmonic analysis) immediately followed by a harmonic synthesis back to physical spa...
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The real spherical harmonics have been used extensively in computer graphics, but the conventional representation is in terms of spherical coordinates and involves expensive trigonometric functions. While the polynomial form is often listed for low orders, directly evaluating the basis functions independently is inefficient. This paper will describe in detail how recurrence relations can be use...
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متن کاملPrimer of spherical harmonic analysis on SL 2 ( C )
[2] If we knew g ∈ SL2(C) had an expression g = kark, then gg∗ = ka2rk, where g∗ is conjugate transpose. This suggests how to determine components k, ar, k ′: by the spectral theorem for positive-definite hermitian operators gg∗, we can find k ∈ SU(2) and a diagonal matrix a2r of positive real eigenvalues, so that gg∗ = ka2rk. We claim that k′ = (kar) −1g ∈ SU(2). Indeed, ( (kar) −1g )( (kar) −...
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ژورنال
عنوان ژورنال: Geophysical Journal International
سال: 1991
ISSN: 0956-540X,1365-246X
DOI: 10.1111/j.1365-246x.1991.tb04615.x