Schwartz spaces associated with some non-differential convolution operators on homogeneous groups

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J. Dziubański, A remark on a Marcinkiewicz-Hörmander multiplier theorem for some non-differential convolution operators, Colloq. Math. 58 (1989), 77-83.
J. Dziubański, Asymptotic behaviour of densities of stable semigroups of measures, Probab. Theory Related Fields 87 (1991), 459-467.
G. M. Folland and E. M. Stein, Hardy Spaces on Homogeneous Groups, Princeton University Press, Princeton 1982.
P. Głowacki, Stable semigroups of measures on the Heisenberg groups, Studia Math. 79 (1984), 105-138.
P. Głowacki, Stable semigroups of measures as commutative approximate identities on non- graded homogeneous groups, Invent. Math. 83 (1986), 557-582.
A. Hulanicki, A class of convolution semigroups of measures on Lie groups, in: Lecture Notes in Math. 829, Springer, Berlin 1980, 82-101.
A. Hulanicki, A functional calculus for Rockland operators on nilpotent Lie groups, Studia Math. 78 (1984), 253-266.
E. M. Stein, Topics in Harmonic Analysis Related to the Littlewood-Paley Theory, Princeton University Press, Princeton 1970.