Abstract
Si ottengono delle stime per il nucleo di Gauss-Weierstrass su gruppi di Lie compatti e se ne indicano alcune applicazioni.
References
Clere J. L.,Sommes de Riesz et multiplicateurs sur un groupe de Lie compact, Ann. Inst. Fourier Grenoble,24 (1974), 149–172.
Coifman R. R., Weiss G.,Invariant systems of conjugate harmonic functions associated with compact Lie groups, Studia Math.,44 (1972), 301–308.
Coifman R. R., Weiss G.,Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc.,83 (1977), 569–645.
Fefferman C., Stein E. M.,H p spaces of several variables, Acta Math.,129 (1972). 137–193.
Gilkey P. B.,The Index Theorem and the Heat Equation, Publish or Perish, Boston, 1974.
Latter R.,A characterisation of H p (Rn) in terms of atoms, Studia Math.,62 (1978), 93–101.
Stein E. M.,Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, 1970.
Stein E. M.,Topics in Harmonic Analysis Related to the Littlewood-Paley Theory, Ann. of Math. Studies,63, 1970.
Stein E. M., Weiss G.,Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton, 1971.
Varadarajan V. S.,Lie Groups, Lie Algebras, and their Representations, Prentice-Hall, London, 1974.
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Cowling, M., Mantero, A.M. & Ricci, F. Pointwise estimates for some kernels on compact Lie groups. Rend. Circ. Mat. Palermo 31, 145–158 (1982). https://doi.org/10.1007/BF02844350
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DOI: https://doi.org/10.1007/BF02844350