Summary
Let D be a Siegel domain and let N be the nilpotent Lie group acting in a simply transitive way on the distinguished boundary of D. The existence of holomorphic almost periodic functions and of holomorphic positive-definite functions on D is investigated.
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A Beniamino Segre per il settantesimo compleanno.
Entrata in Redazione il 30 maggio 1973.
Partially supported by the National Science Foundation (GP-28216). Some of the results contained in this article have been announced in [17].
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Vesentini, E. Holomorphic almost periodic functions and positive-definite functions on Siegel domains. Annali di Matematica 102, 177–202 (1975). https://doi.org/10.1007/BF02410605
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DOI: https://doi.org/10.1007/BF02410605