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Convolution operators on Kucera-type spaces for the Hankel transformation

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References

  1. J. J. Betancor and I. Marrero: Multipliers of Hankel transformable generalized functions. Comment. Math. Univ. Carolin. 33 (1992), 389-401.

    Google Scholar 

  2. J. J. Betancor and I. Marrero: The Hankel convolution and the Zemanian spaces ℬμ and ℬ'μ. Math. Nachr. 160 (1993), 277-298.

    Google Scholar 

  3. J. J. Betancor and I. Marrero: Structure and convergence in certain spaces of distributions and the generalized Hankel convolution. Math. Japon. 38(6) (1993), 1141-1155.

    Google Scholar 

  4. J. J. Betancor and I. Marrero: Some properties of Hankel convolution operators. Canad. Math. Bull. 36 (1993), 398-406.

    Google Scholar 

  5. J. J. Betancor and I. Marrero: A Hilbert-space approach to Hankel-transformable distributions. Appl. Anal. 52 (1994), 103-124.

    Google Scholar 

  6. J. J. Betancor and I. Marrero: Multipliers and convolution operators on Hankel transformable Hilbert spaces. Rend. Sem. Mat. Univ. Pol. Torino 51(2) (1993), 119-137.

    Google Scholar 

  7. J Kucera: Convolution of temperate distributions. Publ. Math. 33 (1986), 323-327.

    Google Scholar 

  8. J. Kucera and K. McKennon: The topology on certain spaces of multipliers of temperate distributions. Rocky Mountain J. Math. 7 (1977), 377-383.

    Google Scholar 

  9. J. Kucera and K. McKennon: Continuity of multiplication of distributions. Internat. J. Math. Sci. 4 (1981), 819-822.

    Google Scholar 

  10. I. Marrero and J. J. Betancor: Hankel convolution of generalized functions. Rend. Mat. Appl. 15 (1995), 351-380.

    Google Scholar 

  11. K. McKennon: The multiplication functions of Kucera. Czechoslovak Math. J. 29 (1979), 169-177.

    Google Scholar 

  12. H. H. Schaefer: Topological Vector Spaces. Grad. Texts in Math., No. 3 (3rd printing), Springer, Berlin, 1971.

    Google Scholar 

  13. F. Tréves: Topological Vector Spaces, Distributions, and Kernels. Academic Press, Now York, 1967.

    Google Scholar 

  14. A. H. Zemanian: The Hankel transformation of certain distributions of rapid growth. SIAM J. Appl. Math. 14 (1966), 678-690.

    Google Scholar 

  15. A. H. Zemanian: Generalized Integral Transformations. Interscience, New York, 1968.

    Google Scholar 

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Betancor, J.J., Marrero, I. Convolution operators on Kucera-type spaces for the Hankel transformation. Czechoslovak Mathematical Journal 47, 47–72 (1997). https://doi.org/10.1023/A:1022488020881

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