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Mixed integral identities involving unit spheres and balls in complex context
Abstract
In this paper, we derive integral identities relating both unit spheres and unit balls of several dimensions in the complex setting. More specifically, we find a chain of equations involving either balls or balls and spheres of different dimensions. In addition, as a result almost independent we prove a prototype of the Funk–Hecke formula for embedded subspheres within the unit sphere of , allowing for a closed-form expression for the computation of the eigenvalues.
AMSC: 32A50, 47A13, 43A90, 42B35, 33C55, 45P05
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Published: 15 December 2015
