@article{808748f983724cfda47c760ecb0caee1,

title = "One-sided tangential interpolation for operator-valued hardy functions on polydisks",

abstract = "All solutions of one-sided tangential interpolation problems with Hilbert norm constraints for operator-valued Hardy functions on the polydisk are described. The minimal norm solution is explicitly expressed in terms of the interpolation data.",

author = "D. Alpay and V. Bolotnikov and L. Rodman",

note = "Funding Information: where {"}117 stands for the unit circle, and where A, B+, B_ are given matrices of suitable sizes. In addition, an Hoo norm inequality constraint on the interpolant function H(z) is required: \[\[H\[\[<~ 7. When 7 = 1, the interpolant belongs to the class of Schur functions. Problems of this type, and their numerous variations and generalizations are known as generalized NevanIinna-Pick interpolation; they go back to the original papers by Nevanllnna \[14\a] nd by Pick \[16\],a nd have been extensively studied in recent decades using a variety of approaches; see the books cited above, and the review \[12\]f or many connections and additional literature. The frarnework of generalized Nevanlinna-Pick problems has been extended recently 1The research of this author is partially supported by NSF grant DMS 9800704, and by the Faculty Research Assignment grant from the College of William and Mary.",

year = "1999",

month = jan,

day = "1",

doi = "10.1007/BF01193902",

language = "English",

volume = "35",

pages = "253--270",

journal = "Integral Equations and Operator Theory",

issn = "0378-620X",

publisher = "Birkhauser Verlag Basel",

number = "3",

}