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On mean periodic functions on complex hyperbolic spaces. (Russian, English) Zbl 1029.43007

Sib. Mat. Zh. 43, No. 2, 271-280 (2002); translation in Sib. Math. J. 43, No. 2, 215-222 (2002).
Summary: We obtain a general solution to one class of convolution equations on the complex hyperbolic space.

MSC:

43A85 Harmonic analysis on homogeneous spaces
53C65 Integral geometry
31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions
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