On the Composition of the Distributions ${x^{\lambda} _+ \ln^m x_+}$ and ${x_+^{-1/\lambda}}$

Authors

  • B. Fisher Department of Mathematics, University of Leicester, Leicester, England
  • T. Kraiweeradechachai Department of Mathematics, Mahidol University, Bangkok, Thailand

DOI:

https://doi.org/10.5644/SJM.04.2.10

Keywords:

Distribution, delta-function, neutrix composition of distributions, neutrix, neutrix limit

Abstract

Let $F$ be a distribution and let $f$ be a locally summable...

 

2000 Mathematics Subject Classification. 46F10

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References

J. G. van der Corput, Introduction to the neutrix calculus, J. Anal. Math., 7 (1959), 291–398.

B. Fisher, On defining the change of variable in distributions, Rostock. Math. Kolloq., 28 (1985), 75–86.

B. Fisher, On defining the distribution (x r +) −s − , Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat., 15 (1985), 119–129.

B. Fisher and J. Nicholas, Some results on the composition of distributions, Novi Sad J. Math., 32 (2)(2002), 87–94.

B. Fisher, S. Orankitjaroen, T. Kraiweeradechachai, G. Sritanratana and K. Nonlaopon, On the composition of the distributions x λ + lnm x+ and x µ +, submitted for publication.

B. Fisher and K. Ta¸s, On the composition of the distributions x λ + and x µ +, J. Math. Anal. Appl., 318 (2006), 102–111.

I. M. Gel’fand and G. E. Shilov, “Generalized Functions”, Vol. I, Acadaemic Press, 1964.

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Published

11.06.2024

How to Cite

Fisher, B., & Kraiweeradechachai, T. (2024). On the Composition of the Distributions ${x^{\lambda} _+ \ln^m x_+}$ and ${x_+^{-1/\lambda}}$. Sarajevo Journal of Mathematics, 4(2), 249–257. https://doi.org/10.5644/SJM.04.2.10

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