# Fb2 Flat Extensions of Positive Moment Matrices: Recursively Generated Relations (Memoirs of the American Mathematical Society) ePub

## by Raul E. Curto,Lawrence A. Fialkow

Category: | Mathematics |

Subcategory: | Science books |

Author: | Raul E. Curto,Lawrence A. Fialkow |

ISBN: | 0821808699 |

ISBN13: | 978-0821808696 |

Language: | English |

Publisher: | Amer Mathematical Society (November 1, 1998) |

Pages: | 56 |

Fb2 eBook: | 1502 kb |

ePub eBook: | 1354 kb |

Digital formats: | lrf docx azw lrf |

Memoirs of the American Mathematical Society 1998; 56 pp; MSC . Flat Extensions of Positive Moment Matrices: Recursively Generated Relations.

Memoirs of the American Mathematical Society 1998; 56 pp; MSC: Primary 47; 44; 30; Secondary 15. Electronic ISBN: 978-1-4704-0237-2 Product Code: MEMO/136/648. In this book, the authors develop new computational tests for existence and uniqueness of representing measures (mu) in the Truncated Complex Moment Problem: (gamma {ij} int bar z^iz^j, dmu) ((0le i+jle 2n)).

Flat extensions of positive moment matrices: recursively generated . 2. Flat extensions for moment matrices. 3. The singular quartic moment problem. 4. The algebraic variety of $gamma $. 5. .

Flat extensions of positive moment matrices: recursively generated relations. Raúl E. Curto and Lawrence A. Fialkow. In this book, the authors develop new computational tests for existence and uniqueness of representing measures $mu$ in the Truncated Complex Moment Problem: $gamma {ij} int bar z^iz^j, dmu$ $(0le i+jle 2n)$. McCarthy’s phenomenon and the proof of Theorem .

Flat extensions of positive moment matrices: recursively generated relations - Raúl E. Almost automorphic and almost periodic dynamics in skew-product semiflows - Wenxian Shen and Yingfei Yi.

Raul E. Curto, Lawrence A. Published: 1 January 1998. by American Mathematical Society (AMS). in Memoirs of the American Mathematical Society. Memoirs of the American Mathematical Society, Volume 136; doi:10.

Start by marking Flat Extensions of Positive Moment Matrices . Published January 1st 1998 by American Mathematical Society(RI).

Start by marking Flat Extensions of Positive Moment Matrices: Recursively Generated Relations as Want to Read: Want to Read savin. ant to Read. Details (if other): Cancel. Thanks for telling us about the problem. Flat Extensions of Positive Moment Matrices: Recursively Generated Relations (Memoirs of the American Mathematical Society).

American Mathematical Society, Providence, 1996) for truncated moment matrices R. E. Curto and L. A. Fialkow, Flat extensions of positive moment matrices: recursively generated relations, Memoirs of the American.

American Mathematical Society, Providence, 1996) for truncated moment matrices. Mathematics Subject Classification (2000). Primary 30E05 Secondary 12D10. R. Fialkow, Flat extensions of positive moment matrices: recursively generated relations, Memoirs of the American Mathematical Society, 648, Amer. So. Providence, RI, 1998.

H. Landau, Classical background of the moment problem, Moments in Mathematics, Proc.

Curto and L. Fialkow, Flat extensions of positive moment matrices, II: Recursively generated relations, preprint 1996. Curto and M. Putinar, Nearly subnormal operators and moment problems, J. Funct. L. Fialkow, Positivity, extensions and the truncated complex moment problem, Contemporary Math. H.

oceedings{Curto1998FlatEO, title {Flat Extensions of Positive Moment Matrices: Recursively .

oceedings{Curto1998FlatEO, title {Flat Extensions of Positive Moment Matrices: Recursively Generated Relations}, author {Raul Curto and Lawrence A. Fialkow}, year {1998} }. Raul Curto, Lawrence A. Introduction Flat extensions for moment matrices The singular quartic moment problem The algebraic variety of $gamma$ J. McCarthy's phenomenon and the proof of Theorem . Summary of results Bibliography List of symbols. View PDF. Save to Library.

Mathematical Society Sectional.

Flat extensions of positive moment matrices: Recursively generated relations, Memoirs of the A. American Mathematical Society Sectional. extensions of positive moment matrices: recursively generated relations (1998) by Flat Memoirs of the American Mathematical Society Transactions of the American Mathematical Society. Recursively generated relations, Memoirs Amer. Recursively Generated Relations. Net - Pure And Applied Math: Matrices Matrices: more books (100) Flat Extensions of Positive Moment Matrices: Recursively Generated Relations (Memoirs of the American Mathematical Society) by Raul E. We develop new computational tests for existence and uniqueness of representing measures μ in the Truncated Complex Moment Problem: (TCMP) γij ∫ z̄izj2 dμ (0 ≤ i + j ≤ 2n). We characterize the existence of finitely atomic representing measures in terms of positivity and extension properties of the moment matrix M(n)(γ) associated with γ ≡ γ(2n): γ00,. γ2n,0, γ00 0 (Theorem . ).

Conditions for the existence of finitely atomic representing measures are expressed in terms of positivity and extension properties of the moment matrix $M(n)(gamma )$ associated with $gamma equiv gamma ^{(2n)}$: $gamma_{00}, dots ,gamma _{0,2n},dots ,gamma _{2n,0}$, $gamma _{00}>0$. This study includes new conditions for flat (i.e., rank-preserving) extensions $M(n+1)$ of $M(n)ge 0$; each such extension corresponds to a distinct rank $M(n)$-atomic representing measure, and each such measure is minimal among representing measures in terms of the cardinality of its support. For a natural class of moment matrices satisfying the tests of recursive generation, recursive consistency, and normal consistency, the existence problem for minimal representing measures is reduced to the solubility of small systems of multivariable algebraic equations. In a variety of applications, including cases of the quartic moment problem ($n=2$), the text includes explicit contructions of minimal representing measures via the theory of flat extensions. Additional computational texts are used to prove non-existence of representing measures or the non-existence of minimal representing measures. These tests are used to illustrate, in very concrete terms, new phenomena, associated with higher-dimensional moment problems that do not appear in the classical one-dimensional moment problem.