PSF Deconvolution of the IFU Data and Restoration of Galaxy Stellar
  Kinematics
  We present a performance test of the Point Spread Function deconvolution
algorithm applied to astronomical Integral Field Unit (IFU) Spectroscopy data
for restoration of galaxy kinematics. We deconvolve the IFU data by applying
the Lucy-Richardson algorithm to the 2D image slice at each wavelength. We
demonstrate that the algorithm can effectively recover the true stellar
kinematics of the galaxy, by using mock IFU data with diverse combination of
surface brightness profile, S/N, line-of-sight geometry and Line-Of-Sight
Velocity Distribution (LOSVD). In addition, we show that the proxy of the spin
parameter $\lambda_{R_{e}}$ can be accurately measured from the deconvolved IFU
data. We apply the deconvolution algorithm to the actual SDSS-IV MaNGA IFU
survey data. The 2D LOSVD, geometry and $\lambda_{R_{e}}$ measured from the
deconvolved MaNGA IFU data exhibit noticeable difference compared to the ones
measured from the original IFU data. The method can be applied to any other
regular-grid IFU data to extract the PSF-deconvolved spatial information.
