Journal article
Concrete solution to the nonsingular quartic binary moment problem
Proceedings of the American Mathematical Society, Vol.144(1), pp.249-258
01/01/2016
DOI: 10.1090/proc/12698
Abstract
Given real numbers β ≡ β(4): β00, β10, β01, β20, β11, β02, β30, β21, β12, β03, β40, β31, β22, β13, β04, with β00 > 0, the quartic real moment measure μ, supported in ℝ2, such that βij = ∫ sitj dμ (0≤ i+j ≤ 4). Let M(2) be the 6 × 6 moment matrix for β(4), given by M(2)i,j:= βi+j, where i, j ∈ Z+2 and |i|, |j| ≤ 2. In this note we find concrete representing measures for β(4) when M(2) is nonsingular; moreover, we prove that it is possible to ensure that one such representing measure is 6-atomic.
Details
- Title: Subtitle
- Concrete solution to the nonsingular quartic binary moment problem
- Creators
- Raul E. Curto - University of Iowa, MathematicsSeonguk Yoo - Seoul National University
- Resource Type
- Journal article
- Publication Details
- Proceedings of the American Mathematical Society, Vol.144(1), pp.249-258
- DOI
- 10.1090/proc/12698
- ISSN
- 0002-9939
- eISSN
- 1088-6826
- Publisher
- American Mathematical Society
- Number of pages
- 10
- Grant note
- DMS-0801168; DMS-1302666 / NSF; National Science Foundation (NSF) PARC postdoctoral program at Seoul National University 22A20130012598 / Brain Korea 21 Program of National Research Foundation of Korea; National Research Foundation of Korea
- Language
- English
- Date published
- 01/01/2016
- Academic Unit
- Mathematics
- Record Identifier
- 9984240878302771
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