On the growth of positive definite double sequences which are not moment sequences

Authors
Citation
Tm. Bisgaard, On the growth of positive definite double sequences which are not moment sequences, MATH NACHR, 210, 2000, pp. 67-83
Citations number
8
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
210
Year of publication
2000
Pages
67 - 83
Database
ISI
SICI code
0025-584X(2000)210:<67:OTGOPD>2.0.ZU;2-U
Abstract
For every a > 1, there is a function f : IN02 --> IR, which is positive sem idefinite but not a moment sequence, such that \f(m, n)\ less than or equal to (m + n)(a(m+n)) for all (m, n). The constant 1 is the best possible.