Moment vanishing problem and positivity: Some examples

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Positivity, sums of squares and the multi-dimensional moment problem II

The paper is a continuation of work initiated by the first two authors in [K–M]. Section 1 is introductory. In Section 2 we give new proofs of results of Scheiderer in [S1] [S2] in the compact case; see Corollaries 2.3, 2.4 and 2.5. The main tool in Section 2, Lemma 2.1, is also used in Section 3 where we continue the examination of the case n = 1 initiated in [K–M], concentrating on the compac...

متن کامل

Truncated Moment Problem versus Moment Problem 3

It is shown that the truncated multidimensional moment problem is more general than the full multidimensional moment problem.

متن کامل

0 Some examples related to the Deligne - Simpson problem ∗

In the present paper we consider some examples relative to the Deligne-Simpson problem (DSP) which is formulated like this: Give necessary and sufficient conditions upon the choice of the p+ 1 conjugacy classes cj ⊂ gl(n,C), resp. Cj ⊂ GL(n,C), so that there exist irreducible (p+1)-tuples of matrices Aj ∈ cj , A1 + . . .+Ap+1 = 0, resp. of matrices Mj ∈ Cj , M1 . . .Mp+1 = I. By definition, the...

متن کامل

Moment Problem and Complexity

Given polynomials h1, . . . , hr ∈ R[x1, . . . , xn], we study the complexity of the problem of representing polynomials in the form f = s0 + s1h1 + · · ·+ srhr (∗) with sums of squares si. Let M be the cone of all f which admit such a representation. The problem is said to be stable if there exists a function φ : N → N such that every f ∈ M has a representation (∗) with deg(si) ≤ φ(deg(f)). Th...

متن کامل

Data Mining: Some examples and some directions

Many successful attempts have been made to deduce information from data. Such data might come from an explicit body of knowledge, for example from a data base. Alternatively the data might be implicit, for example the behaviour of a system. The system may itself be physical such as a helicopter or a factory, or it may be conceptual such as a financial system. The extraction of information from ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Bulletin des Sciences Mathématiques

سال: 2011

ISSN: 0007-4497

DOI: 10.1016/j.bulsci.2010.06.002