Skip to main content
SpringerLink
Log in

On the Lévy-Hinčin formula for commutative hypergroups

  • Conference paper
  • First Online:
Probability Measures on Groups VII

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1064))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bochner, S.: Sturm-Liouville and heat equations whose eigenfunctions are ultraspherical polynomials or associated Bessel functions. In: Proceedings of the Conference on Differential Equations, pp. 23–48. University of Maryland 1955.

    Google Scholar 

  2. Bressoud, D.M.: On partitions, orthogonal polynomials and the expansion of certain infinite products. Proc. London Math. Soc. 42, 478–500 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  3. Chihara, T.S.: An Introduction to Orthogonal Polynomials. New York: Gordon and Breach 1978.

    MATH  Google Scholar 

  4. Dunkl, C.F.: The measure algebra of a locally compact hypergroup. Trans. Amer. Math. Soc. 179, 331–348 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  5. Faraut, J., Harzallah, K.: Distances hilbertiennes invariantes sur un espace homogène. Ann. Inst. Fourier 24, 171–217 (1974)

    Article  MathSciNet  MATH  Google Scholar 

  6. Gasper, G.: Banach algebras for Jacobi series and positivity of a kernel. Ann. of Math. 95, 261–280 (1972)

    Article  MathSciNet  MATH  Google Scholar 

  7. Hartmann, K., Henrichs, R.W. and Lasser, R.: Duals of orbit spaces in groups with relatively compact inner automorphism groups are hypergroups. Mh. Math. 88, 229–238 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  8. Heyer, H.: Convolution semigroups of probability measures on Gelfand pairs. Expo. Math. 1, 3–45 (1983)

    MathSciNet  MATH  Google Scholar 

  9. Jewett, R.I.: Spaces with an abstract convolution of measures. Advances in Math. 18, 1–101 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  10. Kennedy, M.: A stochastic process associated with ultraspherical polynomials. Proc. Royal Irish Acad. 61, Sec. A, 89–100 (1961)

    MathSciNet  MATH  Google Scholar 

  11. Lasser, R.: Orthogonal polynomials and hypergroups. to appear in Rend. Mat.

    Google Scholar 

  12. Lasser, R.: Bochner theorems for hypergroups and their applications to orthogonal polynomial expansions. J. Approx. Theory 37, 311–325 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  13. Lasser, R.: Convolution semigroups on hypergroups. Preprint

    Google Scholar 

  14. Ross, K.A.: Centers of hypergroups. Trans. Amer. Math. Soc. 243, 251–269 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  15. Spector, R.: Aperçu de la théorie des hypergroupes. In: Analyse Harmonique sur les Groupes de Lie. Lecture Notes in Math. Vol.497, pp. 643–673. Springer 1975.

    Article  MathSciNet  MATH  Google Scholar 

  16. Spector, R.: Measures invariantes sur les hypergroupes. Trans. Amer. Math. Soc. 239, 147–165 (1978)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut, der Technischen Universität München, Arcisstraße 21, 8 München 2

    R. Lasser

Authors
  1. R. Lasser
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Herbert Heyer

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Lasser, R. (1984). On the Lévy-Hinčin formula for commutative hypergroups. In: Heyer, H. (eds) Probability Measures on Groups VII. Lecture Notes in Mathematics, vol 1064. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073649

Download citation

  • DOI: https://doi.org/10.1007/BFb0073649

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13341-4

  • Online ISBN: 978-3-540-38874-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation