Geodesic
An example of a positive semidefinite double sequence which is not a moment sequence
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 273-277 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The first explicit example of a positive semidefinite double sequence which is not a moment sequence was given by Friedrich. We present an example with a simpler definition and more moderate growth as $(m, n) \rightarrow \infty $.
The first explicit example of a positive semidefinite double sequence which is not a moment sequence was given by Friedrich. We present an example with a simpler definition and more moderate growth as $(m, n) \rightarrow \infty $.
Classification : 43A35, 44A60
Keywords: double sequence; positive definite; moment sequence 
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     author = {Bisgaard, Torben Maack},
     title = {An example of a positive semidefinite double sequence which is not a moment sequence},
     journal = {Czechoslovak Mathematical Journal},
     pages = {273--277},
     year = {2004},
     volume = {54},
     number = {2},
     mrnumber = {2059249},
     zbl = {1080.43500},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2004_54_2_a0/}
}
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Bisgaard, Torben Maack. An example of a positive semidefinite double sequence which is not a moment sequence. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 273-277. http://geodesic.mathdoc.fr/item/CMJ_2004_54_2_a0/