International Research journal of Management Science and Technology

  ISSN 2250 - 1959 (online) ISSN 2348 - 9367 (Print) New DOI : 10.32804/IRJMST

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NON-COMPACT SEMI ALGEBRAIC SETS - MOMENT PROBLEM

    1 Author(s):  MANOJ KUMAR

Vol -  4, Issue- 2 ,         Page(s) : 180 - 196  (2013 ) DOI : https://doi.org/10.32804/IRJMST

Abstract

A Semialgebraic set is a subset S of Rn for some real closed field R (for example R could be the field of real numbers) defined by a finite sequence of polynomial equations (of the form ) and inequalities (of the form ), or any finite union of such sets. A semialgebraic function is a function with semialgebraic graph. Such sets and functions are mainly studied in real algebraic geometry which is the appropriate framework for algebraic geometry over the real numbers.

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  1. C. Berg, P. H. Maserick, Polynomially positive de®nite sequences.Math. Ann. 259 (1982),
  2. J. Bochnak, M. Coste, M.-F. Roy, Real Algebraic Geometry. Ergeb.Math.Grenzgeb.
  3. N. Bourbaki: Espacesvectorielstopologiques, Chapitres 1 aÁ 5. Masson 1981.
  4. N. Bourbaki: TopologieGeÂneÂrale, Chapitres 1 et 2. Hermann 1965.
  5. M. D. Choi, T. Y. Lam, B. Reznick, Sums of squares of real polynomials. In: K-Theory and Algebraic Geometry: Connections with Quadratic Forms and Division Algebras (B. Jacob, A. Rosenberg, eds.), 
  6. A. Devinatz, Two parameter moment problems. Duke Math. J. 24 (1957), 
  7. H. Hamburger, UÈ bereineErweiterung des StieltjesschenMomentproblems, Parts I, II, III. Math. Ann. 81 (1920), 
  8. R. Hartshorne, Algebraic Geometry. Springer 1977.
  9. F. Hausdor¨, Summationsmethoden und Momentfolgen I. Math. Z. 9 (1921), 
  10. E. K. Haviland, On the momentum problem for distribution functions in more than one dimension II. Amer. J. Math. 58 (1936), 

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