Truncated Hamburger moment problems with constraints

North-Holland Mathematics Studies

Volumn 189, Issue C, 2001, Pages 321-333

  Adamyan, Vadym M ^a   Tkachenko, Igor M ^b  

^a ODESSA NATIONAL UNIVERSITY   (Ukraine)

^b UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

2000 Primary 30E05; 30E10; 82D10; Secondary 82C10

Indexed keywords

EID: 55449134619     PISSN: 03040208     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0304-0208(01)80057-8     Document Type: Chapter

References (8)

1. Moscow, 1973 (Russian). English translation. Krein M.G., and Nudel'man A.A. The Markov moment problem and extremal problems, "Nauka". Translation of Mathematical Monographs AMS 50 (1977)
2. Adamyan V.M., and Tkachenko I.M. Solution of the Truncated Hamburger Moment Problem According to M.G. Krein. Operator Theory: Advances and Applications 118 (2000) 33-52
3. Akhiezer N.I. The classical moment problem and some related questions in analysis (1965), Hafner Publishing Company, N.Y.
4. Löwner K. Über monotone Matrixfunktionen. Math. Z. 38 (1934) 177
5. see also. Curto R.E., and Fialkow L.A. Recursiveness, positivity, and truncated moment prob- lems. Houston J. Math. 17 (1991) 603-635
6. Curto R.E., and Fialkow L.A. Solutions of the truncated moment problem. Mem. Amer. Math. Soc. 119 (1996)
7. Alpay D., Dijksma A., and Langer H. Classical Nevanlinna-Pick Interpolation with Real Interpolation Points. Operator Theory: Advances and Applications 115 (2000) 1-50
8. Karlin S., and Studden W.S. Tschebyscheff systems: with applications in analysis and statistics (1966), Interscience Publishers