Complex Hulls of the Hyperboloid of One Sheet and Spherical Functions

  • Vladimir F. MolchanovEmail author
Conference paper
Part of the Trends in Mathematics book series (TM)


For the hyperboloid of one sheet in \(\mathbb{R}^3\), we construct complex hulls, determine spherical functions that can be continued analytically to these hulls. We write explicitly operators projecting onto subspaces where representations of single series act and the corresponding Cauchy–Szegö kernels


Hyperboloid of one sheet complex hulls spherical functions 


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Derzhavin Tambov State UniversityTambovRussia

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