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Original Articles

On the non-commutative neutrix product of Dirac-delta distribution with an infinitely differentiable function

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Pages 337-350 | Received 25 Jun 2004, Published online: 24 Apr 2007

References

  • van der Corput , J. G. 1959–1960 . Introduction to the neutrix calculus . Journal of Analyse Mathematique , 7 : 291 – 398 .
  • Fisher , B. 1976 . Neutrices and the product of distributions . Studia Mathematica , 57 : 263 – 274 .
  • Fisher , B. 1982 . A non-commutative neutrix product of distributions . Mathematische Nachrichten , 108 : 117 – 127 .
  • Hoskins , R. and Pinto , J. S. 1994 . Distributions Ultradistributions and other Generalized Functions , Ellis Horwood .
  • Zhi , C. L. and Fisher , B. Several products of distributions on ℛ m . Proceedings of Royal Society of London A . Vol. 426 , pp. 425 – 439 .
  • Fisher , B. 1980 . On defining the product of distributions . Mathematishce Nachrichten , 99 : 239 – 249 .
  • Gelfand , I. M. and Shilov , G. E. 1964 . Generalized Functions , Vol. I , Academic Press .
  • Fisher , B. 1980 . Some notes on distributions . Mathematical Student , 48 : 269 – 281 .
  • Fisher , B. 1971 . The product of distributions . Quarterly Journal of Mathematics Oxford (2) , 22 : 291 – 298 .
  • Fisher , B. , Savas , E. , Pehlivan , S. and Özçag¯ , E. 1993 . Results on the non-commutative neutrix product of distributions . Mathematica Balkanica , 7 : 347 – 356 .

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