Skip to main content
Log in

On the hellinger integrals and interpolation ofq-variate stationary stochastic processes

  • Published:
Arkiv för Matematik

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.

Institutional subscriptions

References

  1. Cramér, H., On the theory of stationary random processes. Ann. Math., No. 41, 215–230 (1940).

  2. Mathematical Methods of Statistics. Princeton University Press, New Jersey, 1961.

    Google Scholar 

  3. Grenander, U., andSzegö, G., Toeplitz Forms and Their Applications. University of California Press, California, 1958.

    MATH  Google Scholar 

  4. Grenander, U., Probabilities on Algebraic Structures. Wiley, New York, 1963.

    MATH  Google Scholar 

  5. Hobson, E. W., On Hellinger’s integrals. Proc. London Math. Soc.2, No. 18, 249–265 (1919).

    Google Scholar 

  6. Karhunen, K., Zur interpolation von stationären zufällingen funktionen. Ann. Acad. Sci. Fennicae, Ser. A, Math. Phys., No. 142, 3–8 (1958).

  7. Paley, R., andWiener, N., Fourier Transforms in the Complex Domain. Amer. Math. Soc. Colloquium Pub., No. 19, New York, 1934.

  8. Penrose, R. E., A generalized inverse for matrix. Proc. Cambridge Phil. Soc., No. 51, 406–413 (1955).

  9. Rosenberg, M., The square-integrability of matrix-valued functions with respect to a non-negative hermitian measure. Duke Math. J., No. 32, 291–298 (1964).

  10. Salehi, H., The Hellinger square-integrability of matrix-valued measures with respect to a non-negative hermitian measure. Ark. Mat.1, No. 21, 299–303 (1967).

    MathSciNet  Google Scholar 

  11. Applications of the Hellinger integrals toq-variate stationary stochastic processes. Ark. för Mat.7, No. 21, 305–311 (1967).

    MathSciNet  Google Scholar 

  12. Zygmund, A., Trigonometric Series. Cambridge University Press, New York, 1959.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Salehi, H. On the hellinger integrals and interpolation ofq-variate stationary stochastic processes. Ark. Mat. 8, 1–6 (1969). https://doi.org/10.1007/BF02589529

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02589529

Keywords

Navigation