Skip to main content
Log in

Comparison between different types of abstract integrals in Riesz spaces

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

A comparison among different types of integral in Riesz spaces is given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Aguilera N. E., Harboure E. O.,On the search for weighted norm inequalities for the Fourier transform, Pacific J. Maths,104 (1) (1983), 1–14.

    MATH  MathSciNet  Google Scholar 

  2. Betancor J.J.,A mixed Parseval’s equation and a generalized Hankel transformation of distributions, Canad. J. Math.,41 (1989), 274–284.

    MATH  MathSciNet  Google Scholar 

  3. Betancor J.J.,Two complex variants of a Hankel type transformation of generalized functions, Port. Mathematica,46 (3) (1989), 229–243.

    MATH  MathSciNet  Google Scholar 

  4. Erdelyi A.,On some functional transformations, Rend. Sem. Mat. Univ. Pol. Torino,10 (1950/51), 217–234.

    MathSciNet  Google Scholar 

  5. Erdelyi A., Magnus W., Oberhettinger F., Tricomi F. G.,Tables of integral transforms, II, Mc Graw Hill Book Company, New York, Toronto, London, 1954.

    Google Scholar 

  6. Hayek N.,Estudio de la ecuación diferencial xy″+(v+1)y′+y=0 y de sus aplicaciones, Collectanea Mathematica,18 (1966/67), 55–174.

    MathSciNet  Google Scholar 

  7. Lee W. Y.,On Schwartz’s Hankel transformation of certain spaces of distributions, SIAM J. Math. Anal.,6 (2) (1975), 427–432.

    Article  MATH  MathSciNet  Google Scholar 

  8. Méndez J. M. R., Socas M.M.,A pair of generalized Hankel-Clifford transformations and their applications, J. Math. Anal. Appl.,154 (2) (1991), 543–557.

    Article  MATH  MathSciNet  Google Scholar 

  9. Rooney P. G.,On the range of certain fractional integrals, Can. J. Math.,24 (1972), 1198–1216.

    MATH  MathSciNet  Google Scholar 

  10. Rooney P. G.,On the representation of functions as Fourier transforms, Canad. J. Math.,11 (1959), 168–174.

    MATH  MathSciNet  Google Scholar 

  11. Rooney P. G.,On an inversion operator for the Fourier transformation, Canad. Math. Bull.,3 (2) (1960), 157–165.

    MATH  MathSciNet  Google Scholar 

  12. Rooney P. G.,On the representation of functions by the Hankel and some related transformations, to appear in Proc. Roy. Soc. Edimburgh.

  13. Schwartz L.,Théorie des distributiones, Hermann, Paris, 1957.

    Google Scholar 

  14. Slater L. J.,Confluent hypergeometric functions, Cambridge University Press, Cambridge, 1939.

    Google Scholar 

  15. Stein E. M., Weiss G.,Fourier analysis on euclidean spaces, Princeton University Press, Princeton, New Jersey, 1975.

    Google Scholar 

  16. Watson G. N.,A treatise on the theory of Bessel functions, Cambridge University Press, London, 1958.

    Google Scholar 

  17. Widder D. V.,The Laplace transform, Princeton University Press, Princeton, 1946.

    MATH  Google Scholar 

  18. Zemanian A. H.,Inversion formulas for the distributional Laplace transformation, SIAM J. Appl. Math.,14 (1966), 159–166.

    Article  MATH  MathSciNet  Google Scholar 

  19. Zemanian A. H.,Generalized integral transformations, Interscience, New York, 1968. (Reprinted by Dover, N.Y., 1987).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Lavoro svolto nell’ambito dello G.N.A.F.A. del C.N.R.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Boccuto, A., Sambucini, A.R. Comparison between different types of abstract integrals in Riesz spaces. Rend. Circ. Mat. Palermo 46, 255–278 (1997). https://doi.org/10.1007/BF02977030

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02977030

A.M.S. Classification

Navigation