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REAL COVERING OF THE GENERALIZED HANKEL-CLIFFORD TRANSFORM OF FOX KERNEL TYPE OF A CLASS OF BOEHMIANS

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초록

We investigate some generalization of a class of Hankel-Cli- fford transformations having Fox H-function as part of its kernel on a class of Boehmians. The generalized transform is a one-to-one and onto mapping compatible with the classical transform. The inverse Hankel- Clifford transforms are also considered in the sense of Boehmians.

Abstract

We investigate some generalization of a class of Hankel-Cli- fford transformations having Fox H-function as part of its kernel on a class of Boehmians. The generalized transform is a one-to-one and onto mapping compatible with the classical transform. The inverse Hankel- Clifford transforms are also considered in the sense of Boehmians.

참고문헌 (36)

  1. S. K. Q. Al-Omari, "On the distributional Mellin transformation and its extension to Boehmian spaces", Int. J. Contemp. Math. Sci, 6(17-20), pp.801~810 (2011)
  2. S. K. Q. Al-Omari, "A Mellin transform for a space of Lebesgue integrable Boehmians", Int. J. Con-temp. Math. Sci, 6(29-32), pp.1597~1606 (2011)
  3. S. K. Q. Al-Omari, "Distributional and tempered distributional diffraction Fresnel transforms and their extension to Boehmian spaces", Ital. J. Pure Appl. Math, 30, pp.179~194 (2013)
  4. S. K. Q. Al-Omari, "A note on Fba transformation of generalized functions", Int. J. Pure Appl. Math, 86(1), pp.19~33 (2013)
  5. S. K. Q. Al-Omari, "Hartley transforms on certain space of generalized functions", Georgian Math. J (2013)
  6. S. K. Q. Al-Omari, "On the application of natural transforms", Int. J. Pure Appl. Math, 85(4), pp.729~744 (2013)
  7. S. K. Q. Al-Omari, "Hartley transform for L p Boehmians and spaces of ultradistributions", Int. Math. Forum, 7, pp.433~443 (2012)
  8. S. K. Q. Al-Omari, "On diffraction Fresnel transforms for Boehmians", Abstr. Appl. Anal, 2011, pp.11~ (2011)
  9. S. K. Q. Al-Omari, "Note on Boehmians for class of optical Fresnel wavelet transforms", J. Function Spaces Appl, 2012, pp.14~ (2012)
  10. SKQ Al-Omari, "On the generalized Hartley-Hilbert and Fourier-Hilbert transforms", Advances in Difference Equations, 2012(1), pp.232~ (2012), Springer Nature[DOI]
  11. S. K. Q. Al-Omari, "An estimate of Sumudu transform for Boehmians", Adv. Difference Equ, 2013(77), pp.10~ (2013)
  12. S. K. Q. Al-Omari, "Unified treatment of the Kratzel transformation for generalized functions", Ab-str. Appl. Anal, 2013, pp.7~ (2013)
  13. S. K. Q. Al-Omari, "Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians", Abstr. Appl. Anal, 2013, pp.6~ (2013)
  14. S. K. Q. Al-Omari, "Fourier sine (cosine) transform for ultradistributions and their extensions to tempered and ultraBoehmian spaces", Integral Transforms Spec. Funct, 19(5-6), pp.453~462 (2008)
  15. J. Beardsley, "A Sheaf of Boehmians", Ann. Polon. Math, 107(3), pp.293~307 (2013)
  16. R. Bhuvaneswari, "Boehmians of type S and their Fourier trans-forms", Ann. Univ. Mariae Curie-Sklodowska Sect. A, 64(1), pp.27~43 (2010)
  17. T. K. Boehme, "The support of Mikusinski operators", Trans. Amer. Math. Soc, 176, pp.319~334 (1973)
  18. C. Fox, "The G and H functions as symmetrical Fourier kernels", Trans. Amer. Math. Soc, 98, pp.395~429 (1961)
  19. C. Ganesan, "Weighted ultra distributions and Boehmians", Int. J. Math. Anal, 4(15), pp.703~712 (2010)
  20. V. Karunakaran, "The Laplace transform on a Boehmian space", Ann. Polon. Math, 97(2), pp.151~157 (2010)
  21. V. Karunakaran, "Fourier transform on integrable Boehmians", Integral Transforms Spec. Funct, 20(11-12), pp.937~941 (2009)
  22. D. Loonker, "Wavelet transform of fractional integrals for integrable Boehmians", Appl. Appl. Math, 5(1), pp.1~10 (2010)
  23. D. Loonker, "On the Hankel transform for Boehmians", Integral Trasforms Spec. Funct, 21(7), pp.479~486 (2010)
  24. S. P. Malgonde, "Real inversion formula for the generalized Hankel-Clifford transforma-tion", Indian J. Pure Appl. Math, 29(6), pp.641~656 (1998)
  25. S. P. Malgonde, "On the generalized Hankel-Clifford transformation of arbitrary order", Proc. Indian Acad. Sci. Math. Sci, 110(3), pp.293~304 (2000)
  26. A. M. Mathai, "The H-Function: Theory and Applica-tions" (2010), Springer Science+Business Media, LLC
  27. P. Mikusinski, "Convergence of Boehmians", Japan. J. Math, 9(1), pp.159~179 (1983)
  28. P. Mikusinski, "Fourier transform for integrable Boehmians", Rocky Mountain J. Math, 17(3), pp.577~582 (1987)
  29. P. Mikusinski, "Tempered Boehmians and ultradistributions", Proc. Amer. Math. Soc, 123(3), pp.813~817 (1995)
  30. D. Nemzer, "The Laplace transform on a class of Boehmians", Bull. Austral. Math. Soc, 46(2), pp.347~352 (1992)
  31. Dennis Nemzer, "One-parameter groups of Boehmians", 대한수학회보, 44(3), pp.419~428 (2007), 대한수학회
  32. D. Nemzer, "A note on the convergence of a series in the space of Boehmians", Bull. Pure Appl. Math, 2(1), pp.63~69 (2008)
  33. D. Nemzer, "A note on multipliers for integrable Boehmians", Fract. Calc. Appl. Anal, 12(1), pp.87~96 (2009)
  34. D. Nemzer, "S-asymptotic properties of Boehmians", Integral Transforms Spec. Funct, 21(7), pp.503~513 (2010)
  35. R. S. Pathak, "Integral Transforms of Generalized Functions and their Applications" (1997), Gordon and Breach Science Publishers
  36. R. Roopkumar, "An extension of distributional wavelet transform", Colloq. Math, 115(2), pp.195~206 (2009)

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