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On Schwartz’s theorem for the motion group. (English) Zbl 0407.43008


MSC:

43A45 Spectral synthesis on groups, semigroups, etc.
43A80 Analysis on other specific Lie groups
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References:

[1] [1] , , and , Spectral synthesis and the Pompeiu problem, Ann. Inst. Fourier, Grenoble, 23 (1973), 125-154. · Zbl 0265.46044
[2] [2] , and , Some properties of the Fourier transform on semi-simple Lie groups II., Trans. Amer. Math. Soc., 84 (1957), 1-55. · Zbl 0079.13201
[3] D.I. GUREVICH, Counterexamples to a problem of L. Schwartz, Funct. Anal. Appl., 197 (1975), 116-120.0326.46020 · Zbl 0326.46020
[4] [4] , Sur une propriété intégrale des fonctions de deux variables réelles, Bull. Sci. Acad. Royale Belgique (5), 15 (1929), 265-269. · JFM 55.0139.01
[5] L. SCHWARTZ, Théorie générale des fonctions moyenne-périodiques, Ann. of Math., 48 (1947), 857-928.0030.150049,428c · Zbl 0030.15004
[6] Y. WEIT, On the one-sided Wiener’s theorem for the motion group, to appear in Ann. of Math.0604.43002 · Zbl 0604.43002
[7] L. ZALCMAN. Analyticity and the Pompeiu problem, Arch. Rational Mech. Anal., 47 (1972), 237-254.0251.3004750 #582 · Zbl 0251.30047
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