Geodesic
On the Generalized Hankel and K Transformations
Canadian mathematical bulletin, Tome 12 (1969) no. 6, pp. 733-740

Voir la notice de l'article provenant de la source Cambridge University Press

The K transformation (also called the Meijer transformation) has been extended by Zemanian [1; 2] to a class of generalized functions, For , he defined the K transform of f by (1) In [2, Section 6.6] the following inversion theorem for the K transform of f is proven: (2) in the sense of weak convergence in D'(I). Here, σ is any fixed real number greater than σf, μ is zero or a complex number with positive real part and D'f(I) is the space of Schwartz distributions on I = (0, ∞). 
Koh, E. L. On the Generalized Hankel and K Transformations. Canadian mathematical bulletin, Tome 12 (1969) no. 6, pp. 733-740. doi: 10.4153/CMB-1969-094-2
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[1] 1. Zemanian, A.H., A distributional K transformation. J. Soc. Ind. Appl. Math. 14 (1966) 1350–1365. Google Scholar

[2] 2. Zemanian, A.H., Generalized integral transformations. (Interscience, New York, 1969). Google Scholar

[3] 3. Erdélyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F.G., Tables of integral transforms, Vol. II. (McGraw-Hill, New York, 1954). Google Scholar

[4] 4. Weiss, L., On the foundation of transfer function analysis. Int. J. Eng. Sc. 2 (1964) 343–365. Google Scholar

[5] 5. Koh, E. L. and Zemanian, A.H., The complex Hankel and I-transformations of generalized functions. J. Soc. Ind. Appl. Math. 16 (1968) 945–957. Google Scholar

[6] 6. Erdélyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F.G., Higher transcendental functions, Vol. II. (McGraw-Hill, New York, 1953). Google Scholar

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