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Tangential interpolation with symmetries and two-point interpolation problem for matrix-valued H2-functions |
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| Authors: | D. Alpay V. Bolotnikov L. Rodman |
| Affiliation: | (1) Department of Mathematics, Ben-Gurion University of the Negev, 84105 Beer-Sheva, Israel;(2) Department of Theoretical Mathematics, The Weizmann Institute of Science, 76100 Rehovot, Israel;(3) Department of Mathematics, College of William and Mary, 23187-8795 Williamsburg, VA, USA |
| Abstract: | We describe all solutions of the two-sided tangential interpolation problem in the class of matrix-valued Hardy functions when symmetries are added: these symmetries are defined in terms of involutions ofH2. The obtained results are applied to a one-sided two-points tangential interpolation for matrix functions.The research of this author is partially supported by the NSF Grant DMS 9500924 and by the Binational United States-Israel Foundation Grant 9400271. |
| Keywords: | 15A54 47A56 30E05 47A57 |
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