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Polynomially positive definite sequences

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References

  1. Akhiezer, N.I.: The classical moment problem. Edinburgh: Oliver and Boyd 1965

    Google Scholar 

  2. Atzmon, A.: A moment problem for positive measures on the unit disc. Pac. J. Math.59, 317–325 (1975)

    Google Scholar 

  3. Berg, C., Christensen, J.P.R., Jensen, C.U.: A remark on the multidimensional moment problem. Math. Ann.243, 163–169 (1979)

    Google Scholar 

  4. Berg, C., Maserick, P.H.: Exponentially bounded positive definite functions. To appear in III. J. Math.

  5. Devinatz, A.: Integral representations of positive definite functions. Trans. A.M.S.74, 56–77 (1953)

    Google Scholar 

  6. Haviland, E.K.: On the momentum problem for distribution in more than one dimension. Am. J. Math.57, 562–568 (1935)

    Google Scholar 

  7. Haviland, E.K.: On the momentum problem for distribution functions in more than one dimension. II. Am. J. Math.58, 164–168 (1936)

    Google Scholar 

  8. McGregor, J.L.: Solvability criteria for certain N-dimensional moment problems. J. Approximation Theory30, 315–333 (1980)

    Google Scholar 

  9. Polya, G., Szegö, G.: Problems and theorems in analysis, Vol. II. Die Grundlehren der mathematischen Wissenschaften, Bd. 216. Berlin, Heidelberg, New York: Springer 1976

    Google Scholar 

  10. Schaefer, H.H.: Topological vector spaces. Graduate Texts in Mathematics, Vol. 3. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  11. Shohat, J.A., Tamarkin, J.D.: The problem of moments. Mathematical Surveys. Vol. 1. New York: American Mathematical Society 1943

    Google Scholar 

  12. Švecov, K.I.: On Hamburger's moment problem with the supplementary requirement that masses are absent on a given interval. Commun. Soc. Math. Kharkov16, 121–128 (1939) (in russian)

    Google Scholar 

  13. Wright, F.M.: On the backward extension of positive definite Hamburger moment sequences. Proc. A.M.S.7, 413–422 (1956)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100, Copenhagen, Denmark

    Christian Berg

  2. Department of Mathematics, Pennsylvania State University, 16802, University Park, PA, USA

    P. H. Maserick

Authors
  1. Christian Berg
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  2. P. H. Maserick
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Additional information

The present research was carried out while the first author was visiting Pennsylvania State University with support from the Danish Natural Science Research Council, Grant 11-1648

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Berg, C., Maserick, P.H. Polynomially positive definite sequences. Math. Ann. 259, 487–495 (1982). https://doi.org/10.1007/BF01466054

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