Orthogonal Polynomials, L2-Spaces and Entire Functions.
Christian Berg, Antonio J. Duran (1996)
Mathematica Scandinavica
Christian Berg, P.H. Maserick (1982)
Mathematische Annalen
Pierre Moussa (1982)
Recherche Coopérative sur Programme n°25
Pierre Moussa (1983)
Annales de l'I.H.P. Physique théorique
Kim, D.H., Kwon, K.H. (2001)
Journal of Applied Mathematics
Gabriela Putinar, Mihai Putinar (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
We discuss an exact reconstruction algorithm for time expanding semi-algebraic sets given by a single polynomial inequality. The theoretical motivation comes from the classical -problem of moments, while some possible applications to 2D fluid moving boundaries are sketched. The proofs rely on an adapted co-area theorem and a Hankel form minimization.
Andrzej Birkholc (1971)
Colloquium Mathematicae
Christian Berg (1984)
Mathematica Scandinavica
Torben Maack Bisgaard (2001)
Collectanea Mathematica
Semiperfect semigroups are abelian involution semigroups on which every positive semidefinite function admits a disintegration as an integral of hermitian multiplicative functions. Famous early instances are the group on integers (Herglotz Theorem) and the semigroup of nonnegative integers (Hamburger's Theorem). In the present paper, semiperfect semigroups are characterized within a certain class of semigroups. The paper ends with a necessary condition for the semiperfectness of a finitely generated...
Louis, A.K., P. Maaß (1991)
Numerische Mathematik
Putinar, Mihai, Vasilescu, Florian-Horia (1999)
Annals of Mathematics. Second Series
Ninulescu, Luminiṭa Lemnete (2000)
APPS. Applied Sciences
Alberto Lastra, Javier Sanz (2009)
Studia Mathematica
The Stieltjes moment problem is studied in the framework of general Gelfand-Shilov spaces, subspaces of the space of rapidly decreasing smooth complex functions, which are defined by imposing suitable bounds on their elements in terms of a given sequence M. Necessary and sufficient conditions on M are stated for the problem to have a solution, sometimes coming with linear continuous right inverses of the moment map, sending a function to the sequence of its moments. On the way, some results on the...
Torben Maack Bisgaard, Nobuhisa Sakakibara (2005)
Czechoslovak Mathematical Journal
An abelian -semigroup is perfect (resp. Stieltjes perfect) if every positive definite (resp. completely so) function on admits a unique disintegration as an integral of hermitian multiplicative functions (resp. nonnegative such). We prove that every Stieltjes perfect semigroup is perfect. The converse has been known for semigroups with neutral element, but is here shown to be not true in general. We prove that an abelian -semigroup is perfect if for each there exist and such that ...
Konrad Schmüdgen (1991)
Mathematische Annalen
Powers, Victoria, Scheiderer, Claus (2001)
Advances in Geometry
Marek A. Kowalski, Zbigniew Sawon (1984)
Monatshefte für Mathematik
Kusraev, A.G., Malyugin, S.A. (1999)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
Sergey Zagorodnyuk (2015)
Concrete Operators
This paper is a continuation of our previous investigations on the truncated matrix trigonometric moment problem in Ukrainian Math. J., 2011, 63, no. 6, 786-797, and Ukrainian Math. J., 2013, 64, no. 8, 1199- 1214. In this paper we shall study the truncated matrix trigonometric moment problem with an additional constraint posed on the matrix measure MT(δ), δ ∈ B(T), generated by the seeked function M(x): MT(∆) = 0, where ∆ is a given open subset of T (called a gap). We present necessary and sufficient...
Len Bos, Sione Ma'u (2015)
Banach Center Publications
We discuss problems on Hankel determinants and the classical moment problem related to and inspired by certain Vandermonde determinants for polynomial interpolation on (quadratic) algebraic curves in ℂ².