منابع مشابه
Solution of the Stieltjes Truncated Moment Problem
The conditions of solvability and description of all solutions of the truncated Stieltjes moment problem are obtained using as the starting point earlier results on the Hamburger truncated moment problem. An algebraic algorithm for the explicit solution of both problems is proposed.
متن کاملStieltjes moment problem via fractional moments
Stieltjes moment problem is considered to recover a probability density function from the knowledge of its infinite sequence of ordinary moments. The approximate density is obtained through maximum entropy technique, under the constraint of few fractional moments. The latter are numerically obtained from the infinite sequence of ordinary moments and are chosen in such a way as to convey the max...
متن کاملOn certain non-unique solutions of the Stieltjes moment problem
1 Université Pierre et Marie Curie, Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, Tour 24, 2ième ét., 4, Place Jussieu, F 75252 Paris Cedex 05, France. 2 H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, Division of Theoretical Physics, ul. Eliasza-Radzikowskiego 152, PL 31-342 Kraków, Poland. 3LIPN, CNRS UMR 7030, Institut Galilée Universi...
متن کاملEntropy-convergence in Stieltjes and Hamburger Moment Problem
In the classical Stieltjes and Hamburger's moment problem the sequence of maximum entropy approx-imants, whose rst M moments are equal to given ones, is considered. It is proved that whenever an innnite moment problem is determined then maximum entropy approximants converge in entropy to the function characterized by given moments. Entropy-convergence is proved by using exclusively existence an...
متن کاملCoherent states of a particle in a magnetic field and the Stieltjes moment problem
A solution to a version of the Stieltjes moment problem is presented. Using this solution, we construct a family of coherent states of a charged particle in a uniform magnetic field. We prove that these states form an overcomplete set that is normalized and resolves the unity. By the help of these coherent states we construct the Fock-Bergmann representation related to the particle quantization...
متن کاملذخیره 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: Transactions of the American Mathematical Society
سال: 1980
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1980-0580900-4