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Functional equations and linear transformations—permutability and inversion

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References

  1. Erdely, A., Magnus, W., Oberhetfinger, F., andTricomi, F. G. Tables of Integral Transforms. 2 vols., McGraw-Hill, New York-Toronto-London, 1954.

    Google Scholar 

  2. Dugoal, B. P.,Functional equations and linear transformations II: classes G λ and I μ. J. lndian Math. Soc.38 (1974), 99–120.

    Google Scholar 

  3. Duggal, B. P.,Functional equations and linear transformations IIIA: permutability and inversion. Period. Math. Hungar. 8 (1977), to appear.

  4. Duggal, B. P.,Functional equations and linear transformations IIIC: permutability. Period. Math. Hungar. 10 (1979), to appear.

  5. Duggal, B. P.,Convolutions and other integral transforms. Period. Math. Hungar.7 (1976), 111–116.

    Article  MathSciNet  MATH  Google Scholar 

  6. Goldberg, R. R.,Convolutions and general transforms on L p. Duke Math. J.27 (1960), 251–259.

    Article  MathSciNet  MATH  Google Scholar 

  7. Kober, H.,On certain linear operations and relations between them. Proc. London Math. Soc.11 (1961), 434–456.

    Article  MathSciNet  MATH  Google Scholar 

  8. Kober, H.,On functional equations and bounded linear transformations. Proc. London Math. Soc.14 (1964), 495–519.

    Article  MathSciNet  MATH  Google Scholar 

  9. Kober, H.,A modification of Hilbert transform, the Weyl integral and functional equations. J. London Math. Soc.42 (1967), 42–50.

    Article  MathSciNet  MATH  Google Scholar 

  10. Kober, H.,The extended Weyl integral and related operators. Proc. Amer. Math. Soc.19 (1968), 285–291.

    Article  MathSciNet  MATH  Google Scholar 

  11. Okikiolu, G. O.,On fundamental operators and their applications. Amer. J. Math.90 (1968), 1074–1102.

    Article  MathSciNet  Google Scholar 

  12. Okikiolu, G. O.,Fractional integrals of the H α-type. Quart. J. Math. Oxford Ser.18 (1967), 33–42.

    Article  MathSciNet  MATH  Google Scholar 

  13. Okikiolu, G. O.,Applications of fundamental operators: the operator F (ν)σ Proc. London Math. Soc.19 (1969),601–624.

    Article  MathSciNet  MATH  Google Scholar 

  14. Okikiolu, G. O.,Aspects of the Theory of Bounded Linear Operators in L p-space. Academic Press, London-New York, 1971.

    Google Scholar 

  15. Plancherel, M.,Quelques remarques à propos d’une note de G. H. Hardy: the resultant of two Fourier kemeis. Proc. Cambridge Philos. Soc.33 (1937), 413–418.

    Article  Google Scholar 

  16. de Snoo, H. S. V.,On invariant linear manifolds of Watson transforms. Quart. J. Math. Oxford Ser.24 (1973), 217–221.

    Article  MathSciNet  MATH  Google Scholar 

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Duggal, B.P. Functional equations and linear transformations—permutability and inversion. Aeq. Math. 18, 259–265 (1978). https://doi.org/10.1007/BF01844080

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