Indian Journal of Science and Technology

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On the Exchange Property for the Laplace Transform


Affiliations
1 Department of Mathematics, Faculty of Science, J.N.V. University, Jodhpur - 342 005, India
 

In this paper we investigate the exchange property for the Laplace transform by using the relation between the Fourier transform and the Laplace transform. Simplified construction of tempered Boehmians is also presented.

Keywords

Distribution, Boehmians, Tempered Distribution, Tempered Boehmians, Laplace Transform
User

  • Atanasiu D and Mikusinski P (2005) On the Fourier transform and the exchange property. Intl. J. Math. Math. Sci. 16, 2579-2584.

  • Banerji PK and Loonker D (2006) Laplace transform for Integrable Boehmians. Bull. Cal. Math. Soc. 98 (5), 465-470.

  • Boehme TK (1973) The support of Mikusinski operators. Trans. Amer. Math. Soc. 176, 319-334.

  • Mikusinski P (1995) Tempered Boehmians and ultradistributions. Proc. Amer. Math. Soc. 123, 813-817.

  • Zemanian AH (1987) Distribution theory and transform analysis, Dover Publ., Inc., NY.


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  • On the Exchange Property for the Laplace Transform

Abstract Views: 375  |  PDF Views: 96

Authors

Abhishek Singh
Department of Mathematics, Faculty of Science, J.N.V. University, Jodhpur - 342 005, India
Deshna Loonker
Department of Mathematics, Faculty of Science, J.N.V. University, Jodhpur - 342 005, India
P. K. Banerji
Department of Mathematics, Faculty of Science, J.N.V. University, Jodhpur - 342 005, India

Abstract


In this paper we investigate the exchange property for the Laplace transform by using the relation between the Fourier transform and the Laplace transform. Simplified construction of tempered Boehmians is also presented.

Keywords


Distribution, Boehmians, Tempered Distribution, Tempered Boehmians, Laplace Transform

References





DOI: https://doi.org/10.17485/ijst%2F2010%2Fv3i2%2F29678