  The kinetic theory of the microinstabilities of a cylindrical plasma,
produced by the cylindrical azimuthally symmetric (azimuthal mode number
$m_{0}=0$) helicon wave, is developed. This theory is based on the derived
linear integral equation for the Fourier-Bessel transform of the electrostatic
potential, which accounts for the plasma response on the macroscale radial
inhomogeneity of the helicon wave, which is commensurable with radial scale of
the plasma density inhomogeneity, and on the microscale, which is commensurable
with the thermal Larmor radius of electrons. The developed theory reveals new
macroscale effect of the azimuthal steady rotation of electrons with a radially
inhomogeneous angular velocity, caused by the radial inhomogeneity of the
helicon wave. The solution of the integral equation for the electrostatic
potential, derived in the short-wavelength limit, is derived in the form of the
the functional equation for the electrostatic potential, coupled with infinite
number of its satellites at a frequency separation equal to the frequency of
the helicon wave. It is the basic equation for the investigations of the
dispersion properties of the parametric and current driven instabilities of the
cylindrical plasma in the radially inhomogeneous helicon wave. The analytical
solution of the derived dispersion equation is found for the high frequency
kinetic ion acoustic instability of the cylindrical helicon plasma, driven by
the coupled effect of the electron diamagnetic drift and of the steady
azimuthal rotation of electrons relative to the ions with a radially
inhomogeneous angular velocity.
