On Boundary Interpolation for Matrix Valued Schur Functions is popular PDF and ePub book, written by Vladimir Bolotnikov in 2006, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, On Boundary Interpolation for Matrix Valued Schur Functions can be Read Online from any device for your convenience.
On Boundary Interpolation for Matrix Valued Schur Functions Book PDF Summary
A number of interpolation problems are considered in the Schur class of $p\times q$ matrix valued functions $S$ that are analytic and contractive in the open unit disk. The interpolation constraints are specified in terms of nontangential limits and angular derivatives at one or more (of a finite number of) boundary points. Necessary and sufficient conditions for existence of solutions to these problems and a description of all the solutions when these conditions are met is given. The analysis makes extensive use of a class of reproducing kernel Hilbert spaces ${\mathcal{H}}(S)$ that was introduced by de Branges and Rovnyak. The Stein equation that is associated with the interpolation problems under consideration is analyzed in detail. A lossless inverse scattering problem is also considered.
Detail Book of On Boundary Interpolation for Matrix Valued Schur Functions PDF
- Author : Vladimir Bolotnikov
- Release : 01 October 2024
- Publisher : American Mathematical Soc.
- ISBN : 1470404605
- Genre : Mathematics
- Total Page : 107 pages
- Language : English
- PDF File Size : 11,7 Mb
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