Spectral properties of the block operator matrices.
Main publications:
M. I. Muminov, T. H. Rasulov, “The Faddeev Equation and Essential Spectrum of a Hamiltonian in Fock Space”, Methods of Functional Analysis and Topology, 17:1 (2011), 47–57
T. H. Rasulov, “Investigations of the Essential Spectrum of a Hamiltonian in Fock Space”, Applied Mathematics & Information Sciences, 4:3 (2010), 395–412
T. H. Rasulov, M. I. Muminov, M. Hasanov, “On the Spectrum of a Model Operator in Fock Space”, Methods of Functional Analysis and Topology, 15:4 (2009), 369–383
S. Albeverio, S. N. Lakaev, T. H. Rasulov, “On the Spectrum of an Hamiltonian in Fock Space. Discrete Spectrum asymptotics”, Journal of Statistical Physics, 127:2 (2007), 191–220
S. Albeverio, S. N. Lakaev, T. H. Rasulov, “The Efimov Effect for a Model Operator Associated to a System of three non Conserved Number of Particles”, Methods of Functional Analysis and Topology, 13:1 (2007), 1–16