Summary
We present a powerful result allowing us to obtain a class of radially symmetric positive definite functions in three dimensions. One particular area of application of this result is discussed.
Similar content being viewed by others
References
Bochner S (1955) Harmonic analysis and the theory of probability. University of California Press, Berkeley
Feller W (1966) An introduction to probability theory and its applications, vol. 2. Wiley, New York
Mardia KV, Watkins AJ (1989) On multimodality of the likelihood in the spatial linear model. Biometrika 76:289–295
Matheron G (1971) The theory of regionalised variables and its applications. Les cahiers du Centre de Morphologie Mathematique (Fasc. No 5), Fontainebleau, France
Sneddon IH (1972) The use of integral transforms. McGraw-Hill, New York
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Jalali-Naini, A., Watkins, A.J. On a class of three dimensional radially symmetric positive definite functions. Metrika 36, 327–330 (1989). https://doi.org/10.1007/BF02614107
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02614107