The Journal of the Indian Mathematical Society

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Solution of Integral Equations by Dunkl and Distributional Dunkl Transform


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

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The paper investigates the Dunkl transform and distributional Dunkl transform and the basic properties as convolution. The integral equations such as Volterra integral equation of first and second kind and Abel integral equation are solved by using dunkl transform. Further, solution obtained is considered in distributional sense by employing integral equations to distribution spaces and as well as using the distributional Dunkl transform for its solution.

Keywords

Dunkl Transform, Fourier Transform, Distribution Spaces, Volterra Integral Equation, Fredlom Integral Equation of Convolution Type, Convolution.
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  • Solution of Integral Equations by Dunkl and Distributional Dunkl Transform

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Authors

Deshna Loonker
Department of Mathematics, J. N. V. University, Jodhpur - 342 005, India

Abstract


The paper investigates the Dunkl transform and distributional Dunkl transform and the basic properties as convolution. The integral equations such as Volterra integral equation of first and second kind and Abel integral equation are solved by using dunkl transform. Further, solution obtained is considered in distributional sense by employing integral equations to distribution spaces and as well as using the distributional Dunkl transform for its solution.

Keywords


Dunkl Transform, Fourier Transform, Distribution Spaces, Volterra Integral Equation, Fredlom Integral Equation of Convolution Type, Convolution.

References