Analysis of Spherical Symmetries in Euclidean Spaces: Volume by Claus Müller PDF

By Claus Müller

This self-contained publication bargains a brand new and direct method of the theories of designated services with emphasis on round symmetry in Euclidean areas of arbitrary dimensions. in response to decades of lecturing to mathematicians, physicists and engineers in medical study associations in Europe and america, the writer makes use of undemanding strategies to provide the round harmonics in a concept of invariants of the orthogonal crew. one of many highlights is the extension of the classical result of the round harmonics into the advanced - really vital for the complexification of the Funk-Hecke formulation which effectively results in new integrals for Bessel- and Hankel features with many functions of Fourier integrals and Radon transforms. quite a few routines stimulate mathematical ingenuity and bridge the space among famous effortless effects and their visual appeal within the new formations.

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Analysis of Spherical Symmetries in Euclidean Spaces: Volume 129 (Applied Mathematical Sciences) by Claus Müller

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