Volchkov, Vit. V. 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 Keywords:spherical harmonics; integral representation; Fourier series; invariant distribution; Bergman metric; complex hyperbolic space; mean periodic functions; general solutions; convolution equations PDFBibTeX XMLCite \textit{Vit. V. Volchkov}, Sib. Mat. Zh. 43, No. 2, 271--280 (2002; Zbl 1029.43007); translation in Sib. Math. J. 43, No. 2, 215--222 (2002) Full Text: EuDML