Approximation problems in some holomorphic spaces, with applications

作者: I. Chalendar , J. Leblond , J. R. Partington

DOI: 10.1007/978-3-0348-8362-7_6

关键词:

摘要: We review a selection of extremal problems to do with constrained approximation in certain Banach spaces holomorphic functions, including the classical Hardy and Paley-Wiener spaces. In many cases solutions are best interpreted terms linear operators. Applications under discussion systems identification, signal processing, inverse for partial differential equations, operator theory presented.

参考文章(87)
Lev Aizenberg, Carleman’s Formulas in Complex Analysis Springer Netherlands. ,(1993) , 10.1007/978-94-011-1596-4
I. Chalendar, J. R. Partington, Approximation problems and representations of Hardy spaces in circular domains Studia Mathematica. ,vol. 136, pp. 255- 269 ,(1999)
Peter L. Duren, Theory of Hp Spaces ,(2000)
J. William Helton, Orlando Merino, Conditions for optimality over H Siam Journal on Control and Optimization. ,vol. 31, pp. 1379- 1415 ,(1993) , 10.1137/0331065
S. V. Kisliakov, A sharp correction theorem Studia Mathematica. ,vol. 113, pp. 177- 196 ,(1995) , 10.4064/SM-113-2-177-196
Related Topics, Mario Milman, Michael Cwikel, Richard Rochberg, Interpolation spaces and related topics Bar-Ilan University. ,(1992)
J William Helton, None, Operator Theory, Analytic Functions, Matrices, and Electrical Engineering CBMS Regional Conference Series in Mathematics. ,vol. 68, ,(1987) , 10.1090/CBMS/068
Jonathan R. Partington, Interpolation, identification, and sampling ,(1997)
Peter L. Duren, Theory of H[p] spaces Academic Press. ,(1970)