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Polynomially positive definite sequences. (English) Zbl 0486.44004

MSC:
44A60 Moment problems
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References:
[1] Akhiezer, N.I.: The classical moment problem. Edinburgh: Oliver and Boyd 1965 · Zbl 0135.33803
[2] Atzmon, A.: A moment problem for positive measures on the unit disc. Pac. J. Math.59, 317-325 (1975) · Zbl 0319.44009
[3] Berg, C., Christensen, J.P.R., Jensen, C.U.: A remark on the multidimensional moment problem. Math. Ann.243, 163-169 (1979) · Zbl 0416.46003 · doi:10.1007/BF01420423
[4] Berg, C., Maserick, P.H.: Exponentially bounded positive definite functions. To appear in III. J. Math. · Zbl 0519.43005
[5] Devinatz, A.: Integral representations of positive definite functions. Trans. A.M.S.74, 56-77 (1953) · Zbl 0052.33801 · doi:10.1090/S0002-9947-1953-0052691-0
[6] Haviland, E.K.: On the momentum problem for distribution in more than one dimension. Am. J. Math.57, 562-568 (1935) · Zbl 0013.05904 · doi:10.2307/2371187
[7] Haviland, E.K.: On the momentum problem for distribution functions in more than one dimension. II. Am. J. Math.58, 164-168 (1936) · Zbl 0015.10901 · doi:10.2307/2371063
[8] McGregor, J.L.: Solvability criteria for certain N-dimensional moment problems. J. Approximation Theory30, 315-333 (1980) · Zbl 0458.41025 · doi:10.1016/0021-9045(80)90034-9
[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 · Zbl 0311.00002
[10] Schaefer, H.H.: Topological vector spaces. Graduate Texts in Mathematics, Vol. 3. Berlin, Heidelberg, New York: Springer 1971 · Zbl 0212.14001
[11] Shohat, J.A., Tamarkin, J.D.: The problem of moments. Mathematical Surveys. Vol. 1. New York: American Mathematical Society 1943 · Zbl 0063.06973
[12] ?vecov, 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)
[13] Wright, F.M.: On the backward extension of positive definite Hamburger moment sequences. Proc. A.M.S.7, 413-422 (1956) · Zbl 0071.32703 · doi:10.1090/S0002-9939-1956-0080175-0
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