Geodesic
Spectral decomposition of model operators in de Branges spaces
Sbornik. Mathematics, Tome 201 (2010) no. 11, pp. 1599-1634

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The paper is devoted to studying a class of completely continuous nonselfadjoint operators in de Branges spaces of entire functions. Among other results, a class of unconditional bases of de Branges spaces consisting of values of their reproducing kernels is constructed. The operators that are studied are model operators in the class of completely continuous non-dissipative operators with two-dimensional imaginary parts. Bibliography: 22 titles.
Keywords: de Branges spaces, nonselfadjoint operators, the Muckenhoupt condition, unconditional bases consisting of values of reproducing kernels. 
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     author = {G. M. Gubreev and A. A. Tarasenko},
     title = {Spectral decomposition of model operators in de {Branges} spaces},
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G. M. Gubreev; A. A. Tarasenko. Spectral decomposition of model operators in de Branges spaces. Sbornik. Mathematics, Tome 201 (2010) no. 11, pp. 1599-1634. http://geodesic.mathdoc.fr/item/SM_2010_201_11_a2/