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The mass spectrum of pseudoscalar and scalar meson modes at finite temperature is studied in the framework of a nonlocal quark model. The model implements quark confinement via the modification of the Laplace transform of the quark propagator. In order to synchronize the confining and deconfining phases, a modification of the transform is proposed. The behavior of the screening masses of mesons is studied in a wide region of temperatures, while the pole masses are described up to the deconfining phase transition.

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