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Global hypoellipticity and Liouville numbers. (English) Zbl 0229.35023


MSC:

35H10 Hypoelliptic equations
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[1] Robert S. Strichartz, Invariant pseudo-differential operators on a Lie group, Ann. Scuola Norm. Sup. Pisa (3) 26 (1972), 587 – 611. · Zbl 0244.35071
[2] André Cerezo and François Rouvière, Solution élémentaire d’un opérateur différentiel linéaire invariant à gauche sur un groupe de Lie réel compact et sur un espace homogène réductif compact, Ann. Sci. École Norm. Sup. (4) 2 (1969), 561 – 581 (French). · Zbl 0191.43801
[3] L. Hörmander, Linear partial differential operators, Die Grundlehren der math. Wissenschaften, Band 116, Academic Press, New York; Springer-Verlag, Berlin, 1963. MR 28 #4221. · Zbl 0108.09301
[4] G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 4th ed., Oxford Univ. Press, London, 1960. MR 16, 673. · Zbl 0086.25803
[5] L. Schwartz, Théorie des distributions. Tomes I, II, Actualités Sci. Indust., nos. 1091, 1122, Hermann, Paris, 1950, 1951. MR 12, 31; 833. · Zbl 0037.07301
[6] Nolan R. Wallach, Harmonic analysis on homogeneous spaces, Marcel Dekker, Inc., New York, 1973. Pure and Applied Mathematics, No. 19. · Zbl 0265.22022
[7] C. S. Herz, Functions which are divergences, Amer. J. Math. 92 (1970), 641 – 656. · Zbl 0218.46037 · doi:10.2307/2373366
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