On spherical harmonics for fuzzy spheres in diverse dimensions

On spherical harmonics for fuzzy spheres in diverse dimensions

We construct spherical harmonics for fuzzy spheres of even and odd dimensions, generalizing the correspondence between finite matrix algebras and fuzzy two-spheres. The finite matrix algebras associated with the various fuzzy spheres have a natural basis which falls in correspondence with tensor constructions of irreducible representations of orthogonal groups SO(n). This basis is useful in des...

Spherical Harmonics

5 Spherical Harmonics 7 5.1 Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 5.2 Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2.1 Harmonic expansion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2.2 Convolution . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

On a spherical code in the space of spherical harmonics

In this short note we propose a new method for construction new nice arrangement on the sphere Sd using the spaces of spherical harmonic.

A modular nodal method for solving the neutron transport equation using spherical harmonics in two dimensions

Inanc, Feyzi, "A modular nodal method for solving the neutron transport equation using spherical harmonics in two dimensions " (1989). Retrospective Theses and Dissertations. Paper 9200. The most advanced technology has been used to photo­ graph and reproduce this manuscript from the microfilm master. UMI films the text directly from the original or copy submitted. Thus, some thesis and dissert...

3 Generalized Spherical Harmonics