By Claus Müller
This self-contained booklet deals a brand new and direct method of the theories of specific services with emphasis on round symmetry in Euclidean areas of arbitrary dimensions. in accordance with a long time of lecturing to mathematicians, physicists and engineers in medical examine associations in Europe and america, the writer makes use of user-friendly ideas to give the round harmonics in a conception of invariants of the orthogonal staff. one of many highlights is the extension of the classical result of the round harmonics into the complicated - quite very important for the complexification of the Funk-Hecke formulation which effectively results in new integrals for Bessel- and Hankel capabilities with many functions of Fourier integrals and Radon transforms. a number of routines stimulate mathematical ingenuity and bridge the space among famous straightforward effects and their visual appeal within the new formations.
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