Solution of the Stieltjes Truncated Moment Problem

نویسندگان

  • V. M. ADAMYAN
  • I. M. TKACHENKO
چکیده

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.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Coherent states of a particle in magnetic field and 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 solves the identity. By the help of the coherent states we construct the Fock-Bergmann representation related to the particle quantization....

متن کامل

The Impact of Stieltjes' Work on Continued Fractions and Orthogonal Polynomials: Additional Material

In the recent new edition of the collected works of T.J. Stieltjes, one of us gave an impression of the impact of Stieltjes' work a century after his death 43]. In this paper we give an update and mention some observations which were missing from 43] and some results which appeared during the last two years and which are directly related to Stieltjes' work. In particular there is a large sectio...

متن کامل

A Family of Heat Functions as Solutions of Indeterminate Moment Problems

For a real-valued, measurable function f defined on [0,∞), its nth moment is defined as sn( f ) = ∫∞ 0 x n f (x)dx, n ∈N = {0,1, . . .}. Let (sn)n≥0 be a sequence of real numbers. If f is a real-valued, measurable function defined on [0,∞) with moment sequence (sn)n≥0, we say that f is a solution to the Stieltjes moment problem (related to (sn)n≥0). If the solution is unique, the moment problem...

متن کامل

An Operator Theoretic Approach to Truncated Moment Problems∗

We survey recent developments in operator theory and moment problems, beginning with the study of quadratic hyponormality for unilateral weighted shifts, its connections with truncated Hamburger, Stieltjes, Hausdorff and Toeplitz moment problems, and the subsequent proof that polynomially hyponormal operators need not be subnormal. We present a general elementary approach to truncated moment pr...

متن کامل

Coherent 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 کامل

ذخیره در منابع من


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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004