Abstract
This paper is concerned with an extension of the Charshiladze-Lozinski theorem to compact (not necessarily abelian) topological groups G and symmetric compact homogeneous spaces G/H. The proof is based on a generalized Marcinkiewicz — Berman formula. As an application, some divergence theorems for expansions of continuous resp. integrable complex — valued functions on Euclidean spheres and projective spaces in series of polynomial functions on these spaces are established.
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To Prof.Dr. Karl Zeller, Tübingen, on his 50th birthday, 28 December, 1974
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Dreseler, B., Schempp, W. On the Charshiladze-Lozinski theorem for compact topological groups and homogeneous spaces. Manuscripta Math 13, 321–337 (1974). https://doi.org/10.1007/BF01171145
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DOI: https://doi.org/10.1007/BF01171145