IDEAS home Printed from https://ideas.repec.org/a/hin/ijanal/524264.html
   My bibliography  Save this article

Moment Problems on Bounded and Unbounded Domains

Author

Listed:
  • Octav Olteanu

Abstract

Using approximation results, we characterize the existence of the solution for a two-dimensional moment problem in the first quadrant, in terms of quadratic forms, similar to the one-dimensional case. For the bounded domain case, one considers a space of complex analytic functions in a disk and a space of continuous functions on a compact interval. The latter result seems to give sufficient (and necessary) conditions for the existence of a multiplicative solution.

Suggested Citation

  • Octav Olteanu, 2013. "Moment Problems on Bounded and Unbounded Domains," International Journal of Analysis, Hindawi, vol. 2013, pages 1-7, January.
    • Handle: RePEc:hin:ijanal:524264
    DOI: 10.1155/2013/524264
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/ANALYSIS/2013/524264.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/ANALYSIS/2013/524264.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/524264?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Kleiber, Christian & Stoyanov, Jordan, 2013. "Multivariate distributions and the moment problem," Journal of Multivariate Analysis, Elsevier, vol. 113(C), pages 7-18.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Octav Olteanu, 2020. "From Hahn–Banach Type Theorems to the Markov Moment Problem, Sandwich Theorems and Further Applications," Mathematics, MDPI, vol. 8(8), pages 1-16, August.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kuoch, Kevin & Redig, Frank, 2016. "Ergodic theory of the symmetric inclusion process," Stochastic Processes and their Applications, Elsevier, vol. 126(11), pages 3480-3498.
    2. Christophe Gaillac & Eric Gautier, 2021. "Nonparametric classes for identification in random coefficients models when regressors have limited variation," Working Papers hal-03231392, HAL.
    3. Octav Olteanu, 2020. "Polynomial Approximation on Unbounded Subsets, Markov Moment Problem and Other Applications," Mathematics, MDPI, vol. 8(10), pages 1-12, September.
    4. Octav Olteanu, 2020. "From Hahn–Banach Type Theorems to the Markov Moment Problem, Sandwich Theorems and Further Applications," Mathematics, MDPI, vol. 8(8), pages 1-16, August.
    5. Octav Olteanu, 2013. "New Results on Markov Moment Problem," International Journal of Analysis, Hindawi, vol. 2013, pages 1-17, February.
    6. Sanjay Mehrotra & David Papp, 2013. "A cutting surface algorithm for semi-infinite convex programming with an application to moment robust optimization," Papers 1306.3437, arXiv.org, revised Aug 2014.
    7. Werner Kirsch & Gabor Toth, 2020. "Two Groups in a Curie–Weiss Model with Heterogeneous Coupling," Journal of Theoretical Probability, Springer, vol. 33(4), pages 2001-2026, December.
    8. Damir Filipović & Martin Larsson, 2016. "Polynomial diffusions and applications in finance," Finance and Stochastics, Springer, vol. 20(4), pages 931-972, October.
    9. Nail Kashaev, 2018. "Identification and estimation of multinomial choice models with latent special covariates," Papers 1811.05555, arXiv.org, revised Mar 2022.
    10. Yi-Hsuan Lin, 2020. "Random Non-Expected Utility: Non-Uniqueness," Papers 2009.04173, arXiv.org.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:ijanal:524264. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.