On a variational approach to truncated problems of moments

C.-G. Ambrozie

Mathematica Bohemica (2013)

  • Volume: 138, Issue: 1, page 105-112
  • ISSN: 0862-7959

Abstract

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We characterize the existence of the L 1 solutions of the truncated moments problem in several real variables on unbounded supports by the existence of the maximum of certain concave Lagrangian functions. A natural regularity assumption on the support is required.

How to cite

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Ambrozie, C.-G.. "On a variational approach to truncated problems of moments." Mathematica Bohemica 138.1 (2013): 105-112. <http://eudml.org/doc/252472>.

@article{Ambrozie2013,
abstract = {We characterize the existence of the $L^1$ solutions of the truncated moments problem in several real variables on unbounded supports by the existence of the maximum of certain concave Lagrangian functions. A natural regularity assumption on the support is required.},
author = {Ambrozie, C.-G.},
journal = {Mathematica Bohemica},
keywords = {problem of moments; representing measure; moment problem; representing measure; Lagrangian},
language = {eng},
number = {1},
pages = {105-112},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a variational approach to truncated problems of moments},
url = {http://eudml.org/doc/252472},
volume = {138},
year = {2013},
}

TY - JOUR
AU - Ambrozie, C.-G.
TI - On a variational approach to truncated problems of moments
JO - Mathematica Bohemica
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 138
IS - 1
SP - 105
EP - 112
AB - We characterize the existence of the $L^1$ solutions of the truncated moments problem in several real variables on unbounded supports by the existence of the maximum of certain concave Lagrangian functions. A natural regularity assumption on the support is required.
LA - eng
KW - problem of moments; representing measure; moment problem; representing measure; Lagrangian
UR - http://eudml.org/doc/252472
ER -

References

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