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The response of plasma created by multiphoton gas ionization in an intense UV laser pulse to the terahertz frequency band radiation is studied. Analysis is based on the Boltzmann equation for the temporal behavior of the electron velocity distribution function (EVDF) in an arbitrary external electric field and allows to take into account both temporal retardation of the EVDF evolution with respect to the external electric field and the effect of the relaxation of the strongly nonequilibrium EVDF due to elastic electron - atomic collisions. The suggested theory enables to properly describe propagation of ultra-short THz pulses in laser plasma waveguides.