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Sharp results for the mean summability of Fourier series on compact Lie groups

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References

  1. Bourbaki, N.: Groupes et algèbres de Lie. Paris: Hermann 1968

    Google Scholar 

  2. Chanillo, S.: The multiplier for the ball and radial functions. J. Funct. Anal.55, 18–24 (1984)

    Google Scholar 

  3. Clerc, J.L.: Sommes de Riesz et multiplicateurs sur un groupe de Lie compact. Ann. Inst. Fourier24, 149–172 (1974)

    Google Scholar 

  4. Clerc, J.L.: Localisation des sommes de Riesz sur un groupe de Lie compact. Stud. Math.55, 21–26 (1976)

    Google Scholar 

  5. Coifman, R., Weiss, G.: Analyse harmonique non-commutative sur certaines espaces homogènes (Lecture Notes in Math., Vol. 242). Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  6. Dreseler, B.: Lebesgue constants for certain partial sums of Fourier series on compact Lie groups. In: Linear spaces and approximation) Butzer, P.L., Sz-Nagy, B. (eds.). Basel: Birkhäuser 1978

    Google Scholar 

  7. Garcia Cuerva, J., Rubio De Francia, J.L.: Weighted norm inequalities and related topics. Amsterdam: North-Holland 1985

    Google Scholar 

  8. Giulini, S., Travaglini, G.: Sharp estimates for lebesgue constants on compact Lie groups. J. Funct. Anal.68, 106–116 (1986)

    Google Scholar 

  9. Muckenhoupt, B.: Weighted norm inequalities for the Hardy maximal function. Trans. Am. Math. Soc.165, 207–226 (1972)

    Google Scholar 

  10. Stanton, R.J.: On mean convergence of Fourier series on compact Lie groups. Trans. Am. Math. Soc.218, 61–87 (1976)

    Google Scholar 

  11. Stanton, R.J., Tomas, P.: Polyhedral summability of Fourier series on compact Lie groups. Am. J. Math.100, 477–493 (1978)

    Google Scholar 

  12. Stein, E.M., Weiss, G.: Introduction to Fourier analysis on Euclidean spaces. Princeton: Princeton Univ. Press 1971

    Google Scholar 

  13. Travaglini, G.: Weyl functions and theA p condition on compact Lie groups. J. Austr. Math. Soc. Ser. A33, 185–192 (1982)

    Google Scholar 

  14. Varadarajan, V.S.: Lie groups, Lie algebras and their representation. Englewood Cliffs: Prentice Hall 1974

    Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Milano, Via Saldini 50, I-20133, Milano, Italy

    Leonardo Colzani, Saverio Giulini & Giancarlo Travaglini

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  1. Leonardo Colzani
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  2. Saverio Giulini
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  3. Giancarlo Travaglini
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Colzani, L., Giulini, S. & Travaglini, G. Sharp results for the mean summability of Fourier series on compact Lie groups. Math. Ann. 285, 75–84 (1989). https://doi.org/10.1007/BF01442672

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