대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제36권3호
  • /
  • Pages.495-502
  • /
  • 1999
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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SOME RESULTS ON THE COMMUTATIVE PRODUCT OF DISTRIBUTIONS

  • Fisher, Brian (Department of Mathematics, and Computer Science, Leicester University) ;
  • Nicholas, Joel-D. (Department of Mathematical Sciences, Faculty of Computer Sciences and Engineering, De Montfort University)
  • 발행 : 1999.08.01
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초록

The commutative product of the distributions $x^r lnx and $x^{-r-1}$ is evaluated for r=0,1,2,.... The commutative product of the distributions $x^rln(x+i0) and $(x+i0)^{-r-1}$ is also evaluated for r=1,2,.... Further products are deduced.

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참고문헌

  1. J. Analyse Math. v.7 Introduction to the neutrix calculus J. G. van der Corput
  2. Quart. J. Math. Oxford v.22 no.2 The product of distributions B. Fisher
  3. Math. Student v.48 Some notes on distributions B. Fisher
  4. Serdica v.20 Some results on the commutative neutrix product of distributions A. Kilicman;B. Fisher
  5. Generalized Functions v.I I. M. Gel'fand;G. E. Shilov
  6. Bull. Acad. Polon. Sci., ser. sci. math. astr. phys. v.14 On the square of th Dirac delta-distribution J. Mikusinski