On the Stieltjes moment problem on semigroups

Torben Maack Bisgaard

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 1, page 155-196
  • ISSN: 0011-4642

Abstract

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We characterize finitely generated abelian semigroups such that every completely positive definite function (a function all of whose shifts are positive definite) is an integral of nonnegative miltiplicative real-valued functions (called nonnegative characters).

How to cite

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Bisgaard, Torben Maack. "On the Stieltjes moment problem on semigroups." Czechoslovak Mathematical Journal 52.1 (2002): 155-196. <http://eudml.org/doc/30692>.

@article{Bisgaard2002,
abstract = {We characterize finitely generated abelian semigroups such that every completely positive definite function (a function all of whose shifts are positive definite) is an integral of nonnegative miltiplicative real-valued functions (called nonnegative characters).},
author = {Bisgaard, Torben Maack},
journal = {Czechoslovak Mathematical Journal},
keywords = {semigroup; abelian; commutative; finitely generated; positive definite; completely positive definite; character; semigroup; abelian; commutative; finitely generated; positive definite; completely positive definite; character; abelian semigroups; positive definite function},
language = {eng},
number = {1},
pages = {155-196},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the Stieltjes moment problem on semigroups},
url = {http://eudml.org/doc/30692},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Bisgaard, Torben Maack
TI - On the Stieltjes moment problem on semigroups
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 1
SP - 155
EP - 196
AB - We characterize finitely generated abelian semigroups such that every completely positive definite function (a function all of whose shifts are positive definite) is an integral of nonnegative miltiplicative real-valued functions (called nonnegative characters).
LA - eng
KW - semigroup; abelian; commutative; finitely generated; positive definite; completely positive definite; character; semigroup; abelian; commutative; finitely generated; positive definite; completely positive definite; character; abelian semigroups; positive definite function
UR - http://eudml.org/doc/30692
ER -

References

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