References
G. B. Folland,Spherical harmonic expansion of the Poisson-Szegö kernel for the ball, Proc. Am. Math. Soc.47 (1975), 401–408.
S. Helgason,Invariant differential operators and eigenspace representations, London Math. Soc. Lecture Note Series34 (1977), 236–287.
W. Rudin,Functional Analysis, McGraw-Hill, 1973.
W. Rudin,Function Theory in the Unit Ball of C n, Springer-Verlag, 1980.
W. Rudin,Moebius-invariant algebras in balls, Ann. Inst. Fourier Grenoble33 (1983), 19–41.
E. M. Stein and G. Weiss,Introduction to Fourer Analysis on Euclidean Spaces, Princeton University Press, 1971.
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This research was partially supported by NSF Grant MCS 8100782 and by the William F. Vilas Trust Estate.
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Rudin, W. Eigenfunctions of the invariant Laplacian inB . J. Anal. Math. 43, 136–148 (1983). https://doi.org/10.1007/BF02790180
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DOI: https://doi.org/10.1007/BF02790180