Multivariate prediction, de Branges spaces, and related extension and inverse problems

DOI10.1007/978-3-319-70262-9zbMath1440.60004OpenAlexW2807309408MaRDI QIDQ1684106

Damir Z. Arov, Harry Dym

Publication date: 4 December 2017

Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-70262-9

zbMATH Keywords

Hilbert spaceinverse spectral problemreproducing kernelspectral densityextension problemsde Branges spacemultivariate predictionSzegő conditionweakly stationary processcanonical integral systemKreĭn-Dirac differential system

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Inverse problems involving ordinary differential equations (34A55) Prediction theory (aspects of stochastic processes) (60G25) Research exposition (monographs, survey articles) pertaining to probability theory (60-02) Inverse problems for integral equations (45Q05) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (6)

Rigged de Branges-Pontryagin spaces and their application to extensions and embedding ⋮ Vector valued de Branges spaces of entire functions based on pairs of Fredholm operator valued functions and functional model ⋮ Functional models of operators and their multivalued extensions in Hilbert space ⋮ Classes of de Branges Matrices and Corresponding de Branges Spaces ⋮ Two classes of vector valued de Branges spaces ⋮ Norms of basic operators in vector valued model spaces and de Branges spaces

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