Interpolation in Hardy Spaces, with Applications
نویسندگان
چکیده
This tutorial paper discusses a number of classical interpolation results from the theory of Hardy spaces, and stresses the role played by reproducing kernels. Next, the reproducing kernel thesis is presented in several different contexts. Some basics of the theory of linear systems are described, leading into two applications of the abstract results: the first is in the recovery of functions from boundary values, and the second is in the theory of semigroups, admissibility, and controllability.
منابع مشابه
Abstract Hardy-Sobolev spaces and interpolation
Hardy-Sobolev spaces and interpolation N. Badr Institut Camille Jordan Université Claude Bernard Lyon 1 UMR du CNRS 5208 F-69622 Villeurbanne Cedex [email protected] F. Bernicot Laboratoire de Mathématiques Université de Paris-Sud UMR du CNRS 8628 F-91405 Orsay Cedex [email protected] October 19, 2010 Abstract The purpose of this work is to describe an abstract theory of Ha...
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تاریخ انتشار 2010