scholarly journals A Unified Treatment for the Matrix Stieltjes Moment Problem in Both Nondegenerate and Degenerate Cases

2001 ◽  
Vol 254 (1) ◽  
pp. 23-34 ◽  
Author(s):  
Chen Gong-ning ◽  
Hu Yong-jian
Keyword(s):  
Moment Problem ◽  
Stieltjes Moment Problem ◽  
The Matrix ◽  
Degenerate Cases

scholarly journals Every Stieltjes moment problem has a solution in Gel'fand-Shilov spaces

2003 ◽  
Vol 55 (4) ◽  
pp. 909-913 ◽  
Author(s):  
Jaeyoung CHUNG ◽  
Soon-Yeong CHUNG ◽  
Dohan KIM
Keyword(s):  
Moment Problem ◽  
Stieltjes Moment Problem

The Schur algorithm for an indefinite Stieltjes moment problem

2016 ◽  
Vol 290 (11-12) ◽  
pp. 1637-1662 ◽  
Author(s):  
Volodymyr Derkach ◽  
Ivan Kovalyov
Keyword(s):  
Moment Problem ◽  
Stieltjes Moment Problem ◽  
Schur Algorithm

scholarly journals A Determinantal Expansion for a Class of Definite Integral

1957 ◽  
Vol 10 (4) ◽  
pp. 153-166 ◽  
Author(s):  
L. R. Shenton
Keyword(s):  
Moment Problem ◽  
Extremal Solutions ◽  
Definite Integral ◽  
Stieltjes Moment Problem ◽  
The Subject ◽  
Parseval’S Theorem ◽  
Stieltjes Type

We shall show in this part the relation of generalised C.F.'s to ordinary C.F.'s, in the main confining our attention to Stieltjes type fractions. Moreover we shall bring out the part played by Parseval's theorem in our development of the subject, and a property of extremal solutions of the Stieltjes moment problem given by M. Riesz.

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