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Canonical bases for solutions of invariant differential equations
 Jančík, Michael ; Lávička, Roman (advisor) ; Souček, Vladimír (referee)
Spherical harmonics and spherical monogenics are, respectively, polynomial solutions of Laplace and Dirac equations. In R3 these solutions form irreducible representations of Lie algebra sl(2, C). The main aim is to construct orthogonal bases of such spaces. The well-known procedures like Gram-Schmidt orthogonalization procedure is quite clumsy and tedious. We show how to construct orthogonal bases in an easier way using repre- sentation theory. For description of rotations in R3 and R4 we use quaternions. Finally, we express constructed bases in spherical coordinates 1
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See also: similar author names
3 Jančík, Marek
4 Jančík, Martin
1 Jančík, Miloslav
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