Geodesic
Spectral decomposition of model operators in de Branges spaces
Sbornik. Mathematics, Tome 201 (2010) no. 11, pp. 1599-1634 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

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