Abstract
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
Mathematics Subject Classification (2010). Primary 43A85; Secondary 32D15.
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© 2014 Springer International Publishing Switzerland
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Molchanov, V.F. (2014). Complex Hulls of the Hyperboloid of One Sheet and Spherical Functions. In: Kielanowski, P., Bieliavsky, P., Odesskii, A., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-06248-8_15
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DOI: https://doi.org/10.1007/978-3-319-06248-8_15
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-06247-1
Online ISBN: 978-3-319-06248-8
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