  Tomograms and quasi-distribution functions like Wigner, Glauber - Sudarshan
$P$- and Husimi $Q$- functions that violate the standard normalization
condition are considered. Conditions under which a reconstruction of the
density matrix using these tomograms and quasi-distribution functions is
possible are obtained. Three different examples of states like the de Broglie
plane wave, the Moschinsky shutter problem and the stationary state of the
charged particle in the uniform and constant electric field are studied. Their
tomograms and quasi-distribution functions expressed in terms of the Dirac
delta function, the Airy function and the Fresnel integrals are shown to
violate the standard normalization condition and thus the density matrix of the
state can not always be reconstructed.
