Geodesic
Exponentials of de Branges–Rovnyak kernels
Canadian mathematical bulletin, Tome 65 (2022) no. 2, pp. 447-455

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DOI

In this note, we give a new property of de Branges–Rovnyak kernels. As the main theorem, it is shown that the exponential of de Branges–Rovnyak kernel is strictly positive definite if the corresponding Schur class function is nontrivial.
DOI : 10.4153/S0008439521000400
Mots-clés : de Branges–Rovnyak kernel, positive definite kernel, reproducing kernel Hilbert space 
Kuwahara, Shuhei; Seto, Michio. Exponentials of de Branges–Rovnyak kernels. Canadian mathematical bulletin, Tome 65 (2022) no. 2, pp. 447-455. doi: 10.4153/S0008439521000400
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     title = {Exponentials of de {Branges{\textendash}Rovnyak} kernels},
     journal = {Canadian mathematical bulletin},
     pages = {447--455},
     year = {2022},
     volume = {65},
     number = {2},
     doi = {10.4153/S0008439521000400},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000400/}
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