Carathéodory-Fejér interpolation on polydisks

Mathematical Research Letters

Volumn 7, Issue 1, 2000, Pages 25-34

  Eschmeier, Jörg ^a   Patton, Linda ^b   Putinar, Mihai ^c  

^a SAARLAND UNIVERSITY   (Germany)

^b CALIFORNIA POLYTECHNIC STATE UNIVERSITY   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034348298     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.2000.v7.n1.a3     Document Type: Article

References (13)

1. [1] J. Agler, On the representation of certain holomorphic functions defined on a polydisc, pp. 47-66, Oper. Theory Adv. Appl., 48, Birkhäuser Verlag, Basel, 1990.
2. [2] J. Agler and J. McCarthy, Nevanlinna-Pick interpolation on the bidisk, J. Reine Angew. Math 506 (1999), 191-204.
3. [3] L. A. Aǐzenberg and Š.A. Dautov, Holomorphic functions of several complex variables with nonnegative real part, Math. USSR Sb. 28 (1976), 301-312.
4. [4] J. Ball, W. Li, D. Timotin, and T. Trent, A commutant lifting theorem on the polydisc, preprint 1998.
5. [5] B. Cole and J. Wermer, Pick interpolation, von Neumann inequalities, and hyperconvex sets, preprint 1996.
6. [6] Sh.A. Dautov and G. Khudaiberganov, On the Carathéodory-Fejér problem in multidimensional complex analysis, Sb. Mat. Zh. 23 (1982), 58-64.
7. [7] A. Douady, Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné, Ann. Inst. Fourier 16 (1966), 1-95.
8. [8] C. Foiaş and A.E. Frazho, The commutant lifting approach to interpolation problems, Operator Theory: Advances and Applications, 44, Birkhäuser Verlag, Basel, 1990.
9. [9] J.W. Helton, An application of several complex variables theory to linear model varying systems, preprint 1998.
10. [10] A. Korányi and L. Pukánszky, Holomorphic functions with positive real part on polycylinders, Trans. Amer. Math. Soc. 108 (1963), 449-456.
11. [11] A. Pfister, Über das Koeffizientenproblem der beschränkten Funktionen von zwei Veränderlichen, Math Ann. 146 (1962), 249-262.
12. [12] D. Sarason, Generalized interpolation in H∞, Trans. Amer. Math. Soc. 127 (1967), 179-203.
13. [13] V.S. Vladimirov, Holomorphic functions with positive imaginary part in the future tube IV, Mat. Sb. (N.S.) 104 (146) (1977), 341-370.