Skip to main content
Log in

An expansion in terms of generalized eigenvectors and an integral representation for positive definite Kernels in the form of a continual integral

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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.

Literature Cited

  1. K. Maurin, “Eine Bemerkung zur allgemeinen Eigenfunktionsentwicklungen für vertauschbare Operatorensysteme beliebiger Mächtigkeit,” Bull. Acad. Polon. Sci., Ser. Math. Astron. et Phys.,8, No. 6, 381–384 (1960).

    Google Scholar 

  2. Yu.M. Berezanskii Eigenfunction Expansions for Selfadjoint Operators [in Russian], Naukova Dumka, Kiev (1955).

    Google Scholar 

  3. Yu.M. Berezanskii, “Integral representation of Wightman type positive definite functionals,” Ukrainsk. Matem. Zh.,19, No. 1, 89–95 (1967).

    Google Scholar 

  4. Yu.M. Berezanskii, “The problem of moments and representations of Wightman type functionals by 1968, Wroclaw (1968).

  5. A.N. Kolmogorov, Foundations of the Theory of Probability [in Russian], Moscow-Leningrad (1936).

  6. P.R. Halmos, Measure Theory, Van Nostrand, New York (1950).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirski Matematicheski Zhurnal, Vol. 9, No. 5, pp. 998–1013, September–October, 1968.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Berezanskii, Y.M. An expansion in terms of generalized eigenvectors and an integral representation for positive definite Kernels in the form of a continual integral. Sib Math J 9, 741–751 (1968). https://doi.org/10.1007/BF01041161

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01041161

Keywords

Navigation