Calculus

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

By Claus Müller

This self-contained publication deals a brand new and direct method of the theories of exact features with emphasis on round symmetry in Euclidean areas of arbitrary dimensions. according to a long time of lecturing to mathematicians, physicists and engineers in clinical study associations in Europe and the united states, the writer makes use of user-friendly suggestions to offer 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 advanced - rather vital for the complexification of the Funk-Hecke formulation which effectively results in new integrals for Bessel- and Hankel services with many purposes of Fourier integrals and Radon transforms. a number of routines stimulate mathematical ingenuity and bridge the distance among recognized common effects and their visual appeal within the new formations.

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