  In the present article we study basic aspects of the symplectic version of
Clifford analysis associated to the symplectic Dirac operator. Focusing mostly
on the symplectic vector space of real dimension $2$, this involves the
analysis of first order symmetry operators, symplectic Clifford-Fourier
transform, reproducing kernel for the symplectic Fischer product and the
construction of bases of symplectic monogenics for the symplectic Dirac
operator.
