The Kμ-transformation on McBride's spaces of generalized functions

Mathematische Nachrichten

Volumn 185, Issue , 1997, Pages 21-31

  Betancor, Jorge J ^a   Rodríguez Mesa, Lourdes ^b  

^a UNIVERSIDAD DE LA LAGUNA   (Spain)

^b NONE

Author keywords

Bessel function; Distribution; Integral transformation; Lp Space

Indexed keywords

EID: 0031446825     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.3211850103     Document Type: Article

References (12)

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2. μ-Transforms of Distributions, Math. Japonica 36, (6) (1991), 1063-1083
3. μ Transformation of Distributions, Applicable Anal. 42 (1991), 175-197
4. μ Transforms of Generalized Functions, J. Math. Anal. Appl., 165, (1) (1992), 12-35
5. ERDÉLYI, A., et al.: Tables of Integral Transforms, Vol. II, McGraw-Hill, New York, 1954
6. GLAESKE, H. J., and SAIGO, M.: Products of Laplace Transform and Fractional Integrals on Spaces of Generalized Functions, Math. Japonica 37, (2) (1992), 373-382
7. MCBRIDE, A.C.: Fractional Calculus and Integral Transforms of Generalized Functions, Research Notes in Mathematics 31, Pitman, London, 1979
8. MEIJER, C. S.: Über eine Erweiterung der Laplace Transformation I, Proc. Amsterdam Akad. Wet. 43 (1940), 599-608
9. MEIJER, C. S.: Über eine Erweiterung der Laplace Transformation II, Proc. Amsterdam Akad. Wet. 43 (1940), 702-711
10. WATSON, G. N.: A Treatise on the Theory of Bessel Functions, Cambridge Univ. Press, Cambrigde, 1958
11. ZEMANIAN, A. H.: A Distributional K-Transformation, SIAM J. Appl. Math. 14 (1966), 1350-1365
12. ZEMANIAN, A. H.: Generalized Integral Transformations, Interscience, New York, 1968