Publication Cover
Applicable Analysis
An International Journal
Volume 58, 1995 - Issue 3-4
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Original Articles

The hankel transform of integrable boehmians

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Pages 367-382 | Received 08 Jun 1994, Published online: 02 May 2007

  • Betancor , J.J. and Marrero , I. 1993 . The Hankel Convolution and the Zemanian Spaces βμβ . Math. Nachr. , 160 : 277 – 298 .
  • Boehme , T.K. 1973 . The support of Mikusinski operators . Trans. Amer . Math. Soc. , 176 : 319 – 334 .
  • Erdblyi , A. 1954 . Tables of integral transforms , Vol. II , New York : Mc-Graw Hill .
  • Guy , D.L. 1960 . Hankel multiplier transformations and weighted p-norms . Trans. Amer . Math. Soc. , 95 : 137 – 189 .
  • Haimo , D.T. 1965 . Integral equations associated with Hankel convolutions . Trans. Amer. Math. Soc. , 116 : 330 – 375 .
  • Hirschman , I. I. 1960 . Variation diminishing Hankel transforms . J. Analyse Math. , 8 : 307 – 336 .
  • Mikusinski , P. 1983 . Convergence of Boehmians . Japan J. Math. , 9 ( 1 ) : 159 – 179 .
  • Mikusinski , P. 1987 . Fourier transform for integrable Boehmians . Rocky Mountain J. of Maths. , 17 ( 3 ) : 577 – 582 .
  • Mikusinski , P. 1988 . Boehmians and generalized functions . Acta Math. Hung. , 51 ( 3–4 ) : 271 – 281 .
  • Mikusinski , J. and Mikusinski , P. 1981 . Quotients de suites et leurs applications dans l'analyse fonctiomelle . C. R. Acad. Sci. Paris , 293 ( I ) : 463 – 464 .
  • Mikusinski , P. and Zayed , A. 1993 . The Radon transform of Boehmians . Proc. Amer. Math. Soc. , 118 ( 2 ) : 561 – 570 .
  • Pandey , J.N. 1969 . Complex inversion for the generalized Hankel convolution transformation . SIAM J. Appl. Math. , 17 ( 5 ) : 835 – 848 .
  • Rudin , W. 1974 . Real and complex analysis , New York : McGraw-Hil1 .
  • Stempak , K. 1985 . The Littlewood-Paley theory for the Fourier-Bessel transform , Wroclaw : Prepint 11045 .
  • Stempak , K. 1986 . La Theorie de Littlewood-Paley pour la transformation de Fourier-Bessel . C. R. Acad. Sc. Paris , 303 ( I, 1 ) : 15 – 18 .
  • Titchmarsh , E.C. 1937 . The theory of Fourier integrals , Oxford : Oxford University Press .
  • Watson , G.N. 1958 . A treatise on the theory of Bessel functions , Cambridge : Cambridge University Press .
  • Zemanian , A.H. 1987 . Generalized integral transformations , New York : Dover .

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