It is a randomized prospective controlled study evaluating the effect of transcatheter renal denervation on the clinical status of patients with chronic heart failure and its safety procedures. The working hypothesis of the study is that by performing transcatheter renal denervation in patients with chronic heart failure and severe left ventricular systolic dysfunction there will a resultant reduction in the renal sympathetic activation which in turn will reduce the number of hospitalizations and deaths from heart failure.