Malgonde, S. P.; Saxena, R. K. An inversion formula for the distributional H-transformation. (English) Zbl 0486.46032 Math. Ann. 258, 409-417 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 2 Documents MSC: 46F12 Integral transforms in distribution spaces 44A15 Special integral transforms (Legendre, Hilbert, etc.) Keywords:H-transformation; Fox’s H-function; inversion formula; weak distributional convergence Citations:Zbl 0441.44003; Zbl 0486.46031 PDFBibTeX XMLCite \textit{S. P. Malgonde} and \textit{R. K. Saxena}, Math. Ann. 258, 409--417 (1982; Zbl 0486.46032) Full Text: DOI EuDML 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.