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An inversion formula for the distributional H-transformation. (English) Zbl 0486.46032


MSC:

46F12 Integral transforms in distribution spaces
44A15 Special integral transforms (Legendre, Hilbert, etc.)
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References:

[1] Fox, C.: TheG andH-functions as symmetrical Fourier Kernels. Trans. Am. Math. Soc.98, 395-429 (1961) · Zbl 0096.30804
[2] Malgonde, S.P., Saxena, R.K.: On theH-transformation of generalized functions (communicated for publication) · Zbl 0635.46038
[3] Meijer, C.S.: Integraldarstellungen für Whittakersche Funktionen und Chreprodukte, (Zweite Mitteilung). Proc. Nederl. Akad. Wet-Amsterdam, Vol. 4 (1941)) · Zbl 0025.16202
[4] Moharir, S.K.: A generalized Whittaker transform and some of its properties. J. Shivaji Univ.17, 7-12 (1977) · Zbl 0441.44003
[5] Pandey, J.N.: On the Stieltjes transform of generalized functions. Proc. Camb. Phil. Soc.71, 85-96 (1972) · Zbl 0231.44009 · doi:10.1017/S0305004100050313
[6] Schwartz, L.: Theorie des distributions, Vols. I, II. Paris: Hermann 1957 and 1959
[7] Verma, R.S.: A generalization of Laplace transform. Current Science16, 16-18 (1947)
[8] Zemanian, A.H.: Inversion formulas for the distributional Laplace transformation. Siam J. Appl. Math.14, 159-166 (1966) · Zbl 0147.11904 · doi:10.1137/0114013
[9] Zemanian, A.H.: A distributionalK-transformation. Siam J. Appl. Math.14, 1350-1365 (1966) · Zbl 0154.13902 · doi:10.1137/0114106
[10] Zemanian, A.H.: A generalized Weierstrass transformations. Siam J. Appl. Math.15, 1088-1105 (1967) · Zbl 0164.15502 · doi:10.1137/0115093
[11] Zemanian, A.H.: Generalized integral transformations. Interscience Publishers 1968 · Zbl 0181.12701
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