In the present paper we introduce new ``truncated" hypersingular integral operators $D_{\epsilon}^{\alpha}f,(\epsilon>0)$ generated by the modified Poisson semigroup and obtain an explicit inversion formula for the Flett potentials in framework of $L_p$--spaces.********************************************************************************************************************************************************************************************************************************************************************************************************
📌 3 Key Takeaways
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Objective & Hypothesis:In the present paper we introduce new ``truncated" hypersingular integral operators $D_{\epsilon}^{\alpha}f,(\epsilon>0)$ generated by the modified Poisson semigroup and obtain an explicit inversion formula for the Flett potentials in framework of $L_p$--spaces.********************************************************************************************************************************************************************************************************************************************************************************************************
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Key Findings & Data:In the present paper we introduce new ``truncated" hypersingular integral operators $D_{\epsilon}^{\alpha}f,(\epsilon>0)$ generated by the modified Poisson semigroup and obtain an explicit inversion formula for the Flett potentials in framework of $L_p$--spaces.********************************************************************************************************************************************************************************************************************************************************************************************************
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Conclusion & Impact:In the present paper we introduce new ``truncated" hypersingular integral operators $D_{\epsilon}^{\alpha}f,(\epsilon>0)$ generated by the modified Poisson semigroup and obtain an explicit inversion formula for the Flett potentials in framework of $L_p$--spaces.********************************************************************************************************************************************************************************************************************************************************************************************************
In the present paper we introduce new ``truncated" hypersingular integral operators $D_{\epsilon}^{\alpha}f,(\epsilon>0)$ generated by the modified Poisson semigroup and obtain an explicit inversion formula for the Flett potentials in framework of $L_p$--spaces.********************************************************************************************************************************************************************************************************************************************************************************************************
Evcan, S. S., Eryigit, M., Çobanoğlu, S. (2022). A Balakrishnan-Rubin type hypersingular integral operator and inversion of Flett potentials. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 4, 1405–1413. https://ajindex.com/articles/529568
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